564350976 has 260 divisors, whose sum is σ = 1934648672. Its totient is φ = 161243136.

The previous prime is 564350929. The next prime is 564350987. The reversal of 564350976 is 679053465.

It is a super-2 number, since 2×564350976² = 636984048224305152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80621565 + ... + 80621571.

Almost surely, 2^564350976 is an apocalyptic number.

564350976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967324336).

564350976 is an abundant number, since it is smaller than the sum of its proper divisors (1370297696).

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

564350976 is an frugal number, since it uses more digits than its factorization.

564350976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 564350976 is about 23756.0724026511. The cubic root of 564350976 is about 826.3862709577.

Multiplying 564350976 by its product of nonzero digits (680400), we get a square (383984404070400 = 19595520²).

The spelling of 564350976 in words is "five hundred sixty-four million, three hundred fifty thousand, nine hundred seventy-six".