557508960 has 384 divisors, whose sum is σ = 2113413120. Its totient is φ = 136857600.

The previous prime is 557508953. The next prime is 557508997. The reversal of 557508960 is 69805755.

557508960 is a `hidden beast` number, since 5 + 57 + 508 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3080070 + ... + 3080250.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^557508960 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 557508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056706560).

557508960 is an abundant number, since it is smaller than the sum of its proper divisors (1555904160).

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

557508960 is a wasteful number, since it uses less digits than its factorization.

557508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 557508960 is about 23611.6276440232. The cubic root of 557508960 is about 823.0330663043.

The spelling of 557508960 in words is "five hundred fifty-seven million, five hundred eight thousand, nine hundred sixty".