556582464 has 63 divisors (see below), whose sum is σ = 1596967723. Its totient is φ = 185338752.

The previous prime is 556582399. The next prime is 556582469. The reversal of 556582464 is 464285655.

The square root of 556582464 is 23592.

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

556582464 is a `hidden beast` number, since 5 + 5 + 6 + 582 + 4 + 64 = 666.

It is a super-2 number, since 2×556582464² = 619568078464622592, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (556582469) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 565717 + ... + 566699.

Almost surely, 2^556582464 is an apocalyptic number.

556582464 is the 23592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556582464

556582464 is an abundant number, since it is smaller than the sum of its proper divisors (1040385259).

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

556582464 is an frugal number, since it uses more digits than its factorization.

556582464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 988 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The cubic root of 556582464 is about 822.5768944780.

The spelling of 556582464 in words is "five hundred fifty-six million, five hundred eighty-two thousand, four hundred sixty-four".