557364480 has 144 divisors (see below), whose sum is σ = 1792506240. Its totient is φ = 147595264.

The previous prime is 557364463. The next prime is 557364523. The reversal of 557364480 is 84463755.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663901 + ... + 664739.

It is an arithmetic number, because the mean of its divisors is an integer number (12447960).

Almost surely, 2^557364480 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 557364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896253120).

557364480 is an abundant number, since it is smaller than the sum of its proper divisors (1235141760).

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

557364480 is a wasteful number, since it uses less digits than its factorization.

557364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 557364480 is about 23608.5679362387. The cubic root of 557364480 is about 822.9619630578.

The spelling of 557364480 in words is "five hundred fifty-seven million, three hundred sixty-four thousand, four hundred eighty".