564415776 has 120 divisors (see below), whose sum is σ = 1757711340. Its totient is φ = 177057792.

The previous prime is 564415769. The next prime is 564415781. The reversal of 564415776 is 677514465.

564415776 is a `hidden beast` number, since 564 + 4 + 15 + 7 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 562828176 + 1587600 = 23724^2 + 1260^2 .

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, 37660 + ... + 50468.

Almost surely, 2^564415776 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 564415776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878855670).

564415776 is an abundant number, since it is smaller than the sum of its proper divisors (1193295564).

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

564415776 is a wasteful number, since it uses less digits than its factorization.

564415776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12848 (or 12831 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 564415776 is about 23757.4362253169. The cubic root of 564415776 is about 826.4178989003.

The spelling of 564415776 in words is "five hundred sixty-four million, four hundred fifteen thousand, seven hundred seventy-six".