564000465 has 32 divisors (see below), whose sum is σ = 1085598720. Its totient is φ = 244257984.

The previous prime is 564000433. The next prime is 564000467.

564000465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564000465 - 2⁵ = 564000433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564000467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139359 + ... + 143348.

It is an arithmetic number, because the mean of its divisors is an integer number (33924960).

Almost surely, 2^564000465 is an apocalyptic number.

It is an amenable number.

564000465 is a deficient number, since it is larger than the sum of its proper divisors (521598255).

564000465 is a wasteful number, since it uses less digits than its factorization.

564000465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282741.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 564000465 is about 23748.6939640899. The cubic root of 564000465 is about 826.2151496291.

It can be divided in two parts, 564000 and 465, that added together give a palindrome (564465).

The spelling of 564000465 in words is "five hundred sixty-four million, four hundred sixty-five", and thus it is an aban number.