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483998400 = 263252192961
BaseRepresentation
bin11100110110010…
…011101011000000
31020201201122222200
4130312103223000
51442400422100
6120005433200
714664630024
oct3466235300
91221648880
10483998400
11229228186
1211610b800
13793718b2
14483cc384
152c756e00
hex1cd93ac0

483998400 has 504 divisors, whose sum is σ = 1903933200. Its totient is φ = 116121600.

The previous prime is 483998353. The next prime is 483998413. The reversal of 483998400 is 4899384.

It is a happy number.

483998400 is a `hidden beast` number, since 483 + 99 + 84 + 0 + 0 = 666.

483998400 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7934370 + ... + 7934430.

Almost surely, 2483998400 is an apocalyptic number.

483998400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951966600).

483998400 is an abundant number, since it is smaller than the sum of its proper divisors (1419934800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

483998400 is a wasteful number, since it uses less digits than its factorization.

483998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 483998400 is about 21999.9636363336. The cubic root of 483998400 is about 785.1415758823.

The spelling of 483998400 in words is "four hundred eighty-three million, nine hundred ninety-eight thousand, four hundred".