557904 has 40 divisors (see below), whose sum is σ = 1473120. Its totient is φ = 181888.

The previous prime is 557903. The next prime is 557927. The reversal of 557904 is 409755.

It is a super-2 number, since 2×557904² = 622513746432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2734 + ... + 2930.

It is an arithmetic number, because the mean of its divisors is an integer number (36828).

2⁵⁵⁷⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736560).

557904 is an abundant number, since it is smaller than the sum of its proper divisors (915216).

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

557904 is a wasteful number, since it uses less digits than its factorization.

557904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 557904 is about 746.9297155690. The cubic root of 557904 is about 82.3227415479.

The spelling of 557904 in words is "five hundred fifty-seven thousand, nine hundred four".