557480880 has 420 divisors, whose sum is σ = 2163090720. Its totient is φ = 133436160.

The previous prime is 557480863. The next prime is 557480893. The reversal of 557480880 is 88084755.

557480880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 83 ways as a sum of consecutive naturals, for example, 7056681 + ... + 7056759.

It is an arithmetic number, because the mean of its divisors is an integer number (5150216).

Almost surely, 2^557480880 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 557480880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081545360).

557480880 is an abundant number, since it is smaller than the sum of its proper divisors (1605609840).

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

557480880 is a wasteful number, since it uses less digits than its factorization.

557480880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 557480880 is about 23611.0330142499. The cubic root of 557480880 is about 823.0192481966.

The spelling of 557480880 in words is "five hundred fifty-seven million, four hundred eighty thousand, eight hundred eighty".