557938400 has 36 divisors (see below), whose sum is σ = 1362069072. Its totient is φ = 223175040.

The previous prime is 557938361. The next prime is 557938411. The reversal of 557938400 is 4839755.

It is a super-2 number, since 2×557938400² = 622590516389120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347912 + ... + 349511.

It is an arithmetic number, because the mean of its divisors is an integer number (37835252).

Almost surely, 2^557938400 is an apocalyptic number.

557938400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

557938400 is an abundant number, since it is smaller than the sum of its proper divisors (804130672).

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

557938400 is a wasteful number, since it uses less digits than its factorization.

557938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697443 (or 697430 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 557938400 is about 23620.7197180780. The cubic root of 557938400 is about 823.2443350214.

The spelling of 557938400 in words is "five hundred fifty-seven million, nine hundred thirty-eight thousand, four hundred".