564432512 has 128 divisors (see below), whose sum is σ = 1365984000. Its totient is φ = 227082240.

The previous prime is 564432511. The next prime is 564432529. The reversal of 564432512 is 215234465.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (564432511) 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, 1256864 + ... + 1257312.

It is an arithmetic number, because the mean of its divisors is an integer number (10671750).

Almost surely, 2^564432512 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 564432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682992000).

564432512 is an abundant number, since it is smaller than the sum of its proper divisors (801551488).

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

564432512 is a wasteful number, since it uses less digits than its factorization.

564432512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 564432512 is about 23757.7884492644. The cubic root of 564432512 is about 826.4260671065.

Adding to 564432512 its reverse (215234465), we get a palindrome (779666977).

The spelling of 564432512 in words is "five hundred sixty-four million, four hundred thirty-two thousand, five hundred twelve".