557808160 has 216 divisors, whose sum is σ = 1663911396. Its totient is φ = 176117760.

The previous prime is 557808143. The next prime is 557808161. The reversal of 557808160 is 61808755.

It can be written as a sum of positive squares in 6 ways, for example, as 659344 + 557148816 = 812^2 + 23604^2 .

It is a super-2 number, since 2×557808160² = 622299886725171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (557808161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324750 + ... + 1325170.

Almost surely, 2^557808160 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 557808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831955698).

557808160 is an abundant number, since it is smaller than the sum of its proper divisors (1106103236).

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

557808160 is a wasteful number, since it uses less digits than its factorization.

557808160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The square root of 557808160 is about 23617.9626555721. The cubic root of 557808160 is about 823.1802731787.

The spelling of 557808160 in words is "five hundred fifty-seven million, eight hundred eight thousand, one hundred sixty".