557324400 has 60 divisors (see below), whose sum is σ = 1785299672. Its totient is φ = 148619520.

The previous prime is 557324389. The next prime is 557324483. The reversal of 557324400 is 4423755.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×557324400² = 621220973670720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231019 + ... + 233418.

Almost surely, 2^557324400 is an apocalyptic number.

557324400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

557324400 is an abundant number, since it is smaller than the sum of its proper divisors (1227975272).

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

557324400 is a wasteful number, since it uses less digits than its factorization.

557324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464458 (or 464447 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 557324400 is about 23607.7190766071. The cubic root of 557324400 is about 822.9422362259.

The spelling of 557324400 in words is "five hundred fifty-seven million, three hundred twenty-four thousand, four hundred".