557715456 has 195 divisors, whose sum is σ = 1707684253. Its totient is φ = 181370880.

The previous prime is 557715419. The next prime is 557715463. The reversal of 557715456 is 654517755.

The square root of 557715456 is 23616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26873856 + 530841600 = 5184^2 + 23040^2 .

It is a super-2 number, since 2×557715456² = 622093059722575872, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13602796 + ... + 13602836.

Almost surely, 2^557715456 is an apocalyptic number.

557715456 is the 23616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557715456

557715456 is an abundant number, since it is smaller than the sum of its proper divisors (1149968797).

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

557715456 is an frugal number, since it uses more digits than its factorization.

557715456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 46 counting only the distinct ones).

The product of its digits is 735000, while the sum is 45.

The cubic root of 557715456 is about 823.1346682931.

The spelling of 557715456 in words is "five hundred fifty-seven million, seven hundred fifteen thousand, four hundred fifty-six".