557904400 has 45 divisors (see below), whose sum is σ = 1341501223. Its totient is φ = 222972800.

The previous prime is 557904397. The next prime is 557904437. The reversal of 557904400 is 4409755.

The square root of 557904400 is 23620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 66129424 + 491774976 = 8132^2 + 22176^2 .

It is a super-2 number, since 2×557904400² = 622514639078720000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 471810 + ... + 472990.

Almost surely, 2^557904400 is an apocalyptic number.

557904400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

557904400 is the 23620-th square number.

It is an amenable number.

557904400 is an abundant number, since it is smaller than the sum of its proper divisors (783596823).

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

557904400 is an equidigital number, since it uses as much as digits as its factorization.

557904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The cubic root of 557904400 is about 823.2276122219.

The spelling of 557904400 in words is "five hundred fifty-seven million, nine hundred four thousand, four hundred".