557864960 has 96 divisors (see below), whose sum is σ = 1350956880. Its totient is φ = 221085696.

The previous prime is 557864953. The next prime is 557864971. The reversal of 557864960 is 69468755.

It is a super-2 number, since 2×557864960² = 622426627191603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 557864899 and 557864908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1607507 + ... + 1607853.

Almost surely, 2^557864960 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 557864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675478440).

557864960 is an abundant number, since it is smaller than the sum of its proper divisors (793091920).

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

557864960 is a wasteful number, since it uses less digits than its factorization.

557864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The square root of 557864960 is about 23619.1650995542. The cubic root of 557864960 is about 823.2082129233.

The spelling of 557864960 in words is "five hundred fifty-seven million, eight hundred sixty-four thousand, nine hundred sixty".