557570400 has 144 divisors (see below), whose sum is σ = 1853881344. Its totient is φ = 145492480.

The previous prime is 557570359. The next prime is 557570413. The reversal of 557570400 is 4075755.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110329 + ... + 115271.

It is an arithmetic number, because the mean of its divisors is an integer number (12874176).

Almost surely, 2^557570400 is an apocalyptic number.

557570400 is a gapful number since it is divisible by the number (50) 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 557570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926940672).

557570400 is an abundant number, since it is smaller than the sum of its proper divisors (1296310944).

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

557570400 is a wasteful number, since it uses less digits than its factorization.

557570400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 33.

The square root of 557570400 is about 23612.9286620699. The cubic root of 557570400 is about 823.0632991781.

The spelling of 557570400 in words is "five hundred fifty-seven million, five hundred seventy thousand, four hundred".