557434400 has 36 divisors (see below), whose sum is σ = 1360838682. Its totient is φ = 222973440.

The previous prime is 557434399. The next prime is 557434421. The reversal of 557434400 is 4434755.

It can be written as a sum of positive squares in 3 ways, for example, as 465351184 + 92083216 = 21572^2 + 9596^2 .

It is a super-2 number, since 2×557434400² = 621466220606720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347597 + ... + 349196.

Almost surely, 2^557434400 is an apocalyptic number.

557434400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

557434400 is an abundant number, since it is smaller than the sum of its proper divisors (803404282).

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

557434400 is a wasteful number, since it uses less digits than its factorization.

557434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696813 (or 696800 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 557434400 is about 23610.0487081243. The cubic root of 557434400 is about 822.9963744687.

The spelling of 557434400 in words is "five hundred fifty-seven million, four hundred thirty-four thousand, four hundred".