465747564 has 48 divisors (see below), whose sum is σ = 1119702528. Its totient is φ = 150568128.

The previous prime is 465747463. The next prime is 465747599.

465747564 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 152557 + ... + 155579.

It is an arithmetic number, because the mean of its divisors is an integer number (23327136).

Almost surely, 2^465747564 is an apocalyptic number.

It is an amenable number.

465747564 is an abundant number, since it is smaller than the sum of its proper divisors (653954964).

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

465747564 is a wasteful number, since it uses less digits than its factorization.

465747564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3412 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The square root of 465747564 is about 21581.1854169320. The cubic root of 465747564 is about 775.1460364412.

The spelling of 465747564 in words is "four hundred sixty-five million, seven hundred forty-seven thousand, five hundred sixty-four".