557164800 has 324 divisors, whose sum is σ = 2112872580. Its totient is φ = 139591680.

The previous prime is 557164793. The next prime is 557164813. The reversal of 557164800 is 8461755.

557164800 is a `hidden beast` number, since 5 + 5 + 7 + 1 + 648 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17438976 + 539725824 = 4176^2 + 23232^2 .

It is a super-2 number, since 2×557164800² = 620865228718080000, 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 978916 + ... + 979484.

Almost surely, 2^557164800 is an apocalyptic number.

557164800 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 557164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056436290).

557164800 is an abundant number, since it is smaller than the sum of its proper divisors (1555707780).

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

557164800 is a wasteful number, since it uses less digits than its factorization.

557164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 596 counting only the distinct ones).

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

The square root of 557164800 is about 23604.3385842518. The cubic root of 557164800 is about 822.8636738900.

It can be divided in two parts, 55716 and 4800, that added together give a square (60516 = 246²).

The spelling of 557164800 in words is "five hundred fifty-seven million, one hundred sixty-four thousand, eight hundred".