557615480 has 64 divisors (see below), whose sum is σ = 1303452000. Its totient is φ = 214434304.

The previous prime is 557615449. The next prime is 557615581. The reversal of 557615480 is 84516755.

It is a super-4 number, since 4×557615480⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311147 + ... + 312933.

Almost surely, 2^557615480 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 557615480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651726000).

557615480 is an abundant number, since it is smaller than the sum of its proper divisors (745836520).

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

557615480 is a wasteful number, since it uses less digits than its factorization.

557615480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 41.

The square root of 557615480 is about 23613.8832045896. The cubic root of 557615480 is about 823.0854803494.

The spelling of 557615480 in words is "five hundred fifty-seven million, six hundred fifteen thousand, four hundred eighty".