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'400' ('four hundred') is the
natural number following three hundred [and] ninety-nine and preceding four hundred [and] one.
Mathematical properties
400 is the
square of
20.
A
circle is divided into 400
grads, which is equal to 360
degrees and 2π
radians. (Degrees and radians are the
SI accepted units).
400 is a
self number in base 10, since there is no integer that added to the sum of its own digits results in 400. On the other hand, 400 is divisible by the sum of its own base 10 digits, making it a
Harshad number.
Other fields
'Four hundred' is also
★
The Four Hundred (oligarchy) of ancient
Athens.
★ an
HTTP status code for a bad request.
★ The Four Hundred (sometimes The Four Hundred Club) a phrase meaning the wealthiest, most famous, or most powerful social group (see, e.g.,
Ward McAllister), leading to the generation of such lists as the
Forbes 400
★ The
Atari 400 home computer.
★ in the title of the film ''Les Quatre Cent Coups'' (''
The 400 Blows''), a French film directed by
François Truffaut.
★ A Lebanese card game.
400 (card game)
★ the designation for a class of
Ontario highways called
400-Series Highways.
★
The 400, later the Twin Cities 400, a
Chicago and North Western Railway passenger train that traveled 400 miles between
Minneapolis/St. Paul and
Chicago, Illinois in 400 minutes.
★ For the year 400 AD, see
400.
Integers from 401 to 499
401
prime number,
tetranacci number, sum of seven consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71), sum of nine consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61),
Chen prime,
Eisenstein prime with no imaginary part,
Mertens function returns 0, member of the
Mian-Chowla sequence. Also HTTP status code for an unauthorized request, also in the name of a retirement plan,
401(k)
----
402 = 2 × 3 × 67,
sphenic number,
nontotient, Harshad number, also HTTP status code for payment required, area code for
Nebraska
----
403 = 13 × 31, Mertens function returns 0. Also, HTTP status code for forbidden; also in the name of a retirement plan in the United States, 403(b).
----
404 = 2
2 × 101, Mertens function returns 0, nontotient,
noncototient. Also, HTTP status code for "
file not found", perhaps the most famous HTTP status code of all time; Section '404' of the
Sarbanes-Oxley Act. One of the three area codes of the
Atlanta calling area.
----
405 = 3
4 × 5, Mertens function returns 0, Harshad number; HTTP error code for "Method not allowed".
----
406 = 2 × 7 × 29, sphenic number,
triangular number,
centered nonagonal number, nontotient, and HTTP error code for "Not acceptable".
'' is a poem by
John Boyle O'Reilly. It was believed to have been the number of one of O'Reilly's prison cells, and was the number of his first hotel room after he arrived in the
United States. Hence the number had a
mystical significance to him, as intimated in the poem.
See also the
Peugeot 406 car.
----
407 = 11 × 37,
★ sum of cubes of 4, 0 and 7 (4
3 + 0
3 + 7
3 = 407)
★ sum of three consecutive primes (131 + 137 + 139)
★ Mertens function returns 0
★
Harshad number
★ HTTP error code for Proxy authentication required
----
408 = 2
3 × 3 × 17
★ sum of four consecutive primes (97 + 101 + 103 + 107)
★ sum of eight consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67)
★
Pell number
★ Mertens function returns 0,
★
octagonal number
★ untouchable number
★ Harshad number
★ HTTP error code for Request timeout
----
409 is a prime number, Chen prime,
centered triangular number.
★ A cleaning product 409®, see
butoxyethanol
★ There was an engine known as the Chevrolet 409, a 409 cubic inch W-series V8''. For the
song about that engine, see the group ''
The Beach Boys.''
★ The year
409 or
409 BC
★ HTTP error code for Conflict
410s
410 = 2 × 5 × 41, sphenic number, sum of six consecutive primes (59 + 61 + 67 + 71 + 73 + 79), nontotient, Harshad number, HTTP error code for Gone
----
411 = 3 × 137, self number, HTTP error code for Length required, slang for information
----
412 = 2
2 × 103, nontotient, noncototient, HTTP error code for recondition failed
----
413 = 7 × 59, Mertens function returns 0, self number, HTTP error code for Request entity too large
----
414 = 2 × 3
2 × 23, Mertens function returns 0, nontotient,
Harshad number, HTTP error code for Request URI too long
----
415 = 5 × 83, HTTP error code for Unsupported media type
★
415 Records, a record label
----
416 = 2
5 × 13, HTTP error code for Requested Range not satisfiable
★ 416 is also a nickname for
Toronto, based on its area code
----
417 = 3 × 139, HTTP error code for Expectation failed
----
418 = 2 × 11 × 19, sphenic number
----
419 prime number,
Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part,
highly cototient number, Mertens function returns 0, also refers to the Nigerian
advance fee fraud scheme (after the section of the Nigerian Criminal Code it violates)
420s
420 has its own article.
----
421 prime number, sum of five consecutive primes (73 + 79 + 83 + 89 + 97),
centered square number, also
SMTP code meaning the transmission channel will be closing
----
422 = 2 × 211, Mertens function returns 0, nontotient
----
423 = 3
2 × 47, Mertens function returns 0, Harshad number
----
424 = 2
3 × 53, sum of ten consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Mertens function returns 0,
refactorable number, self number
----
425 = 5
2 × 17, sum of three consecutive primes (137 + 139 + 149), Mertens function returns 0
----
426 = 2 × 3 × 71, sphenic number, nontotient, untouchable number
----
427 = 7 × 61, Mertens function returns 0
----
428 = 2
2 × 107, Mertens function returns 0, nontotient
----
429 = 3 × 11 × 13, sphenic number,
Catalan number
430s
430 = 2 × 5 × 43, sphenic number, untouchable number
----
431 prime number, Sophie Germain prime, sum of seven consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73), Chen prime, Eisenstein prime with no imaginary part
----
432 sum of four consecutive primes (103 + 107 + 109 + 113), a
highly totient number, sum of totient function for first 37 integers and a
Harshad number,
Zuckerman number.
4
2 x 3
3= 3
3 x 2
4 =432
----
433 prime number,
Markov number,
star number. The perfect score in the game show
Fifteen To One, only ever achieved once in over 2000 shows.
----
434 = 2 × 7 × 31, sphenic number, sum of six consecutive primes (61 + 67 + 71 + 73 + 79 + 83)nontotient
----
435 = 3 × 5 × 29, sphenic number, triangular number,
hexagonal number, self number
----
436 = 2
2 × 109, nontotient, noncototient
----
437 = 19 × 23
----
438 = 2 × 3 × 73, sphenic number,
Smith number
----
439 prime number, sum of three consecutive primes (139 + 149 + 151), sum of nine consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), strictly non-palindromic number
440s
440 = 2
3 × 5 × 11, the sum of the first seventeen prime numbers, Harshad number, also, in
hertz, the standard frequency to which most
orchestras tune the pitch A above middle C. A few orchestras tune slightly flatter or sharper than this.
----
441 = 3
2 × 7
2 = 21
2, sum of the cubes of the first natural numbers,
centered octagonal number, refactorable number, Harshad number
----
442 = 2 × 13 × 17, sphenic number, sum of eight consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71)
----
443 prime number, Sophie Germain prime, Chen prime,+ Eisenstein prime with no imaginary part, Mertens function sets new low of -9, which stands until 659
----
444 = 2
2 × 3 × 37, refactorable number, Harshad number
----
445 = 5 × 89
----
446 = 2 × 223, nontotient, self number
----
447 = 3 × 149
----
448 = 2
6 × 7, untouchable number, refactorable number, Harshad number
----
449 prime number, sum of five consecutive primes (79 + 83 + 89 + 97 + 101), Chen prime, Eisenstein prime with no imaginary part,
Proth prime. Also the largest number whose
factorial is less than 10
1000
450s
450 = 2 × 3
2 × 5
2, nontotient, sum of totient function for first 38 integers, refactorable number, Harshad number, also SMTP code meaning the requested mail action was not carried out, a perfect score in Canadian
five-pin bowling
----
451
Wedderburn-Etherington number;
centered decagonal number; its reciprocal has period 10; 451 is the smallest number with this period reciprocal length. The number also has significance in the fictional novel ''
Fahrenheit 451'', as it is the temperature at which the paper in books burns.
----
452 = 2
2 × 113, also SMTP code meaning that the requested mail action was not carried out because of insufficient system storage
----
453 = 3 × 151
----
454 = 2 × 227, nontotient, Smith number
----
455 = 5 × 7 × 13, sphenic number,
tetrahedral number
★ ''455 Rocket'' is the title of a song by
Kathy Mattea
----
456 = 2
3 × 3 × 19, sum of a twin prime (227 + 229), sum of four consecutive primes (107 + 109 + 113 + 127),
centered pentagonal number
----
457 prime number, sum of three consecutive primes (149 + 151 + 157), self number
----
458 = 2 × 229, nontotient
----
459 = 3
3 × 17
460s
460 = 2
2 × 5 × 23, centered triangular number, Harshad number
----
461 prime number, Chen prime, Eisenstein prime with no imaginary part
----
462 = 2 × 3 × 7 × 11, sum of six consecutive primes (67 + 71 + 73 + 79 + 83 + 89),
pronic number,
sparsely totient number
----
463 prime number, sum of seven consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79),
centered heptagonal number, number of days in the
synodic period of
Ceres
----
464 = 2
4 × 29
''See also:''
4-6-4, the year AD
464.
----
465 = 3 × 5 × 31,
sphenic number, triangular number, member of the
Padovan sequence, Harshad number
----
466 = 2 × 233, noncototient
----
467 prime number,
safe prime, Chen prime, Eisenstein prime with no imaginary part
----
468 = 2
2 × 3
2 × 13, sum of ten consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), refactorable number, self number, Harshad number
----
469 = 7 × 67,
centered hexagonal number
470s
470 = 2 × 5 × 47, sphenic number, nontotient, noncototient
★ In
golf, 470 is the minimum length in
yards from the tee to the hole on a Par 5.
----
471 = 3 × 157, sum of three consecutive primes (151 + 157 + 163),
perfect totient number
----
472 = 2
3 × 59, nontotient, untouchable number, refactorable number
----
473 = 11 × 43, sum of five consecutive primes (83 + 89 + 97 + 101 + 103)
----
474 = 2 × 3 × 79, sphenic number, sum of eight consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73), nontotient, noncototient, sum of totient function for first 39 integers, untouchable number,
nonagonal number
----
475 is a 49-
gonal number, member of the Mian-Chowla sequence.
----
476 = 2
2 × 7 × 17, Harshad number
----
477 = 3
2 × 53
----
478 = 2 × 239
----
479 prime number, safe prime, sum of nine consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71), Chen prime, Eisenstein prime with no imaginary part, self number
480s
480 = 2
5 × 3 × 5, sum of a twin prime (239 + 241), sum of four consecutive primes (109 + 113 + 127 + 131), highly totient number, refactorable number, Harshad number
----
481 = 13 × 37, octagonal number, centered square number, Harshad number
----
482 = 2 × 241, nontotient, noncototient
----
483 = 3 × 7 × 23, sphenic number, Smith number
----
484 = 2
2 × 11
2 = 22
2, nontotient
----
485 = 5 × 97
----
486 = 2 × 3
5, Harshad number, also shorthand for the
Intel 80486 microprocessor chip
----
487 prime number, sum of three consecutive primes (157 + 163 + 167), Chen prime
----
488 = 2
3 × 61, nontotient, refactorable number
----
489 = 3 × 163,
octahedral number
490s
490 = 2 × 5 × 7
2, noncototient, sum of totient function for first 40 integers, self number. In
Christianity, the
Matthew 18:21-22 says that
Jesus told
Peter to forgive his brother "seventy times seven" times when his brother sins against him
[1].
----
491 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, strictly non-palindromic number
----
492 = 2
2 × 3 × 41, sum of six consecutive primes (71 + 73 + 79 + 83 + 89 + 97), refactorable number, member of a
Ruth-Aaron pair with 493 under first definition
----
493 = 17 × 29, sum of seven consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83), member of a Ruth-Aaron pair with 493 under first definition
★ Currently the number of
Pokémon species, from the first set through the fourth generation (see
List of Pokémon)
----
494 = 2 × 13 × 19, sphenic number, nontotient
----
495 has its own article.
----
496 has its own article.
----
497 = 7 × 71, sum of five consecutive primes (89 + 97 + 101 + 103 + 107)
----
498 = 2 × 3 × 83, sphenic number, untouchable number
----
499 prime number, Chen prime
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