557930880 has 192 divisors, whose sum is σ = 2075083920. Its totient is φ = 137318400.

The previous prime is 557930873. The next prime is 557930899. The reversal of 557930880 is 88039755.

557930880 is a `hidden beast` number, since 557 + 93 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×557930880² = 622573733715148800, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71155 + ... + 78605.

Almost surely, 2^557930880 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 557930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037541960).

557930880 is an abundant number, since it is smaller than the sum of its proper divisors (1517153040).

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

557930880 is a wasteful number, since it uses less digits than its factorization.

557930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7489 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 557930880 is about 23620.5605352625. The cubic root of 557930880 is about 823.2406363901.

The spelling of 557930880 in words is "five hundred fifty-seven million, nine hundred thirty thousand, eight hundred eighty".