557978512 has 120 divisors (see below), whose sum is σ = 1372412160. Its totient is φ = 215055360.

The previous prime is 557978507. The next prime is 557978549. The reversal of 557978512 is 215879755.

It is a super-2 number, since 2×557978512² = 622680039707468288, which contains 22 as substring.

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, 775689 + ... + 776407.

It is an arithmetic number, because the mean of its divisors is an integer number (11436768).

Almost surely, 2^557978512 is an apocalyptic number.

557978512 is a gapful number since it is divisible by the number (52) 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 557978512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686206080).

557978512 is an abundant number, since it is smaller than the sum of its proper divisors (814433648).

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

557978512 is a wasteful number, since it uses less digits than its factorization.

557978512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 782 counting only the distinct ones).

The product of its digits is 882000, while the sum is 49.

The square root of 557978512 is about 23621.5687878684. The cubic root of 557978512 is about 823.2640631165.

The spelling of 557978512 in words is "five hundred fifty-seven million, nine hundred seventy-eight thousand, five hundred twelve".