557857152 has 256 divisors, whose sum is σ = 1754726400. Its totient is φ = 174182400.

The previous prime is 557857141. The next prime is 557857163. The reversal of 557857152 is 251758755.

557857152 is a `hidden beast` number, since 5 + 5 + 78 + 571 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (557857141) and next prime (557857163).

It is a super-2 number, since 2×557857152² = 622409204075102208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 557857098 and 557857107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4392513 + ... + 4392639.

It is an arithmetic number, because the mean of its divisors is an integer number (6854400).

Almost surely, 2^557857152 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 557857152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877363200).

557857152 is an abundant number, since it is smaller than the sum of its proper divisors (1196869248).

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

557857152 is a wasteful number, since it uses less digits than its factorization.

557857152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its digits is 490000, while the sum is 45.

The square root of 557857152 is about 23618.9998094754. Note that the first 3 decimals coincide. The cubic root of 557857152 is about 823.2043723046.

It can be divided in two parts, 557857 and 152, that added together give a square (558009 = 747²).

The spelling of 557857152 in words is "five hundred fifty-seven million, eight hundred fifty-seven thousand, one hundred fifty-two".