557438112 has 576 divisors, whose sum is σ = 2201472000. Its totient is φ = 137168640.

The previous prime is 557438083. The next prime is 557438113. The reversal of 557438112 is 211834755.

557438112 is a `hidden beast` number, since 5 + 574 + 3 + 81 + 1 + 2 = 666.

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

Its product of digits (33600) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (557438113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29338839 + ... + 29338857.

It is an arithmetic number, because the mean of its divisors is an integer number (3822000).

Almost surely, 2^557438112 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 557438112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736000).

557438112 is an abundant number, since it is smaller than the sum of its proper divisors (1644033888).

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

557438112 is a wasteful number, since it uses less digits than its factorization.

557438112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 557438112 is about 23610.1273185894. The cubic root of 557438112 is about 822.9982012641.

The spelling of 557438112 in words is "five hundred fifty-seven million, four hundred thirty-eight thousand, one hundred twelve".