557464320 has 432 divisors, whose sum is σ = 2285617152. Its totient is φ = 122757120.

The previous prime is 557464319. The next prime is 557464333. The reversal of 557464320 is 23464755.

557464320 is a `hidden beast` number, since 5 + 5 + 7 + 4 + 643 + 2 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2499729 + ... + 2499951.

Almost surely, 2^557464320 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 557464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142808576).

557464320 is an abundant number, since it is smaller than the sum of its proper divisors (1728152832).

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

557464320 is a wasteful number, since it uses less digits than its factorization.

557464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 557464320 is about 23610.6823281327. The cubic root of 557464320 is about 823.0110988387.

The spelling of 557464320 in words is "five hundred fifty-seven million, four hundred sixty-four thousand, three hundred twenty".