557933120 has 112 divisors (see below), whose sum is σ = 1376647488. Its totient is φ = 215255040.

The previous prime is 557933083. The next prime is 557933137. The reversal of 557933120 is 21339755.

It is a happy number.

It is a super-2 number, since 2×557933120² = 622578732785868800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1136075 + ... + 1136565.

Almost surely, 2^557933120 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 557933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688323744).

557933120 is an abundant number, since it is smaller than the sum of its proper divisors (818714368).

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

557933120 is a wasteful number, since it uses less digits than its factorization.

557933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 35.

The square root of 557933120 is about 23620.6079515325. The cubic root of 557933120 is about 823.2417381136.

The spelling of 557933120 in words is "five hundred fifty-seven million, nine hundred thirty-three thousand, one hundred twenty".