564400465 has 32 divisors (see below), whose sum is σ = 723945600. Its totient is φ = 421639680.

The previous prime is 564400433. The next prime is 564400481. The reversal of 564400465 is 564004465.

It is not a de Polignac number, because 564400465 - 2⁵ = 564400433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 564400465.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826014 + ... + 826696.

It is an arithmetic number, because the mean of its divisors is an integer number (22623300).

Almost surely, 2^564400465 is an apocalyptic number.

It is an amenable number.

564400465 is a deficient number, since it is larger than the sum of its proper divisors (159545135).

564400465 is a wasteful number, since it uses less digits than its factorization.

564400465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897.

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 564400465 is about 23757.1139871829. The cubic root of 564400465 is about 826.4104260411.

The spelling of 564400465 in words is "five hundred sixty-four million, four hundred thousand, four hundred sixty-five".