465202564 has 12 divisors (see below), whose sum is σ = 833960988. Its totient is φ = 226928000.

The previous prime is 465202537. The next prime is 465202589.

465202564 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 235376964 + 229825600 = 15342^2 + 15160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1418137 + ... + 1418464.

It is an arithmetic number, because the mean of its divisors is an integer number (69496749).

Almost surely, 2^465202564 is an apocalyptic number.

It is an amenable number.

465202564 is a deficient number, since it is larger than the sum of its proper divisors (368758424).

465202564 is a wasteful number, since it uses less digits than its factorization.

465202564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836646 (or 2836644 counting only the distinct ones).

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

The square root of 465202564 is about 21568.5549817321. The cubic root of 465202564 is about 774.8435696761.

The spelling of 465202564 in words is "four hundred sixty-five million, two hundred two thousand, five hundred sixty-four".