564464464 has 80 divisors (see below), whose sum is σ = 1226707200. Its totient is φ = 250048512.

The previous prime is 564464443. The next prime is 564464477. The reversal of 564464464 is 464464465.

It is a super-2 number, since 2×564464464² = 637240262237614592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 564464464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234924 + ... + 1235380.

It is an arithmetic number, because the mean of its divisors is an integer number (15333840).

Almost surely, 2^564464464 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 564464464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613353600).

564464464 is an abundant number, since it is smaller than the sum of its proper divisors (662242736).

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

564464464 is a wasteful number, since it uses less digits than its factorization.

564464464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 43.

The square root of 564464464 is about 23758.4608929114. The cubic root of 564464464 is about 826.4416612161.

Subtracting from 564464464 its reverse (464464465), we obtain a palindrome (99999999).

The spelling of 564464464 in words is "five hundred sixty-four million, four hundred sixty-four thousand, four hundred sixty-four".