557568000 has 468 divisors, whose sum is σ = 2209309284. Its totient is φ = 135168000.

The previous prime is 557567987. The next prime is 557568043. The reversal of 557568000 is 865755.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

557568000 is a `hidden beast` number, since 5 + 575 + 6 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 539725824 = 4224^2 + 23232^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50687995 + ... + 50688005.

Almost surely, 2^557568000 is an apocalyptic number.

557568000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104654642).

557568000 is an abundant number, since it is smaller than the sum of its proper divisors (1651741284).

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

557568000 is a wasteful number, since it uses less digits than its factorization.

557568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 557568000 is about 23612.8778423978. The cubic root of 557568000 is about 823.0621182481.

The spelling of 557568000 in words is "five hundred fifty-seven million, five hundred sixty-eight thousand".