465626564 has 24 divisors (see below), whose sum is σ = 886225368. Its totient is φ = 212774400.

The previous prime is 465626563. The next prime is 465626569.

It is a happy number.

465626564 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 117505600 + 348120964 = 10840^2 + 18658^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (465626563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39077 + ... + 49580.

It is an arithmetic number, because the mean of its divisors is an integer number (36926057).

Almost surely, 2^465626564 is an apocalyptic number.

It is an amenable number.

465626564 is a deficient number, since it is larger than the sum of its proper divisors (420598804).

465626564 is a wasteful number, since it uses less digits than its factorization.

465626564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88775 (or 88773 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 44.

The square root of 465626564 is about 21578.3818670446. The cubic root of 465626564 is about 775.0789036557.

The spelling of 465626564 in words is "four hundred sixty-five million, six hundred twenty-six thousand, five hundred sixty-four".