564474312 has 64 divisors (see below), whose sum is σ = 1585656000. Its totient is φ = 186037632.

The previous prime is 564474311. The next prime is 564474329. The reversal of 564474312 is 213474465.

564474312 is a `hidden beast` number, since 5 + 644 + 7 + 4 + 3 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (564474311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4543 + ... + 33905.

It is an arithmetic number, because the mean of its divisors is an integer number (24775875).

Almost surely, 2^564474312 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 564474312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792828000).

564474312 is an abundant number, since it is smaller than the sum of its proper divisors (1021181688).

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

564474312 is a wasteful number, since it uses less digits than its factorization.

564474312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29467 (or 29457 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 564474312 is about 23758.6681444899. The cubic root of 564474312 is about 826.4464673942.

The spelling of 564474312 in words is "five hundred sixty-four million, four hundred seventy-four thousand, three hundred twelve".