557575920 has 320 divisors, whose sum is σ = 2165575680. Its totient is φ = 130636800.

The previous prime is 557575897. The next prime is 557575973. The reversal of 557575920 is 29575755.

557575920 is a `hidden beast` number, since 5 + 5 + 7 + 57 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736182 + ... + 736938.

It is an arithmetic number, because the mean of its divisors is an integer number (6767424).

Almost surely, 2^557575920 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 557575920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082787840).

557575920 is an abundant number, since it is smaller than the sum of its proper divisors (1607999760).

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

557575920 is a wasteful number, since it uses less digits than its factorization.

557575920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The square root of 557575920 is about 23613.0455469006. The cubic root of 557575920 is about 823.0660153041.

The spelling of 557575920 in words is "five hundred fifty-seven million, five hundred seventy-five thousand, nine hundred twenty".