564065280 has 132 divisors (see below), whose sum is σ = 1954631172. Its totient is φ = 150405120.

The previous prime is 564065279. The next prime is 564065297. The reversal of 564065280 is 82560465.

564065280 is a `hidden beast` number, since 5 + 640 + 6 + 5 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 172975104 + 391090176 = 13152^2 + 19776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39960 + ... + 52200.

Almost surely, 2^564065280 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 564065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977315586).

564065280 is an abundant number, since it is smaller than the sum of its proper divisors (1390565892).

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

564065280 is a wasteful number, since it uses less digits than its factorization.

564065280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12272 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 564065280 is about 23750.0585262437. The cubic root of 564065280 is about 826.2467979976.

The spelling of 564065280 in words is "five hundred sixty-four million, sixty-five thousand, two hundred eighty".