557974944 has 72 divisors (see below), whose sum is σ = 1591726500. Its totient is φ = 185407488.

The previous prime is 557974939. The next prime is 557974973. The reversal of 557974944 is 449479755.

557974944 is a `hidden beast` number, since 557 + 9 + 7 + 49 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 453690000 + 104284944 = 21300^2 + 10212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×557974944² = 622672076263606272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94182 + ... + 99930.

Almost surely, 2^557974944 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 557974944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795863250).

557974944 is an abundant number, since it is smaller than the sum of its proper divisors (1033751556).

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

557974944 is a wasteful number, since it uses less digits than its factorization.

557974944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102 (or 6091 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 557974944 is about 23621.4932635513. The cubic root of 557974944 is about 823.2623083222.

The spelling of 557974944 in words is "five hundred fifty-seven million, nine hundred seventy-four thousand, nine hundred forty-four".