557034660 has 288 divisors, whose sum is σ = 2148636672. Its totient is φ = 113633280.

The previous prime is 557034649. The next prime is 557034703. The reversal of 557034660 is 66430755.

557034660 is a `hidden beast` number, since 557 + 0 + 3 + 46 + 60 = 666.

It is a super-2 number, since 2×557034660² = 620575224882631200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 507232 + ... + 508328.

It is an arithmetic number, because the mean of its divisors is an integer number (7460544).

Almost surely, 2^557034660 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 557034660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074318336).

557034660 is an abundant number, since it is smaller than the sum of its proper divisors (1591602012).

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

557034660 is a wasteful number, since it uses less digits than its factorization.

557034660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 557034660 is about 23601.5817266555. The cubic root of 557034660 is about 822.7996019928.

The spelling of 557034660 in words is "five hundred fifty-seven million, thirty-four thousand, six hundred sixty".