465974912 has 64 divisors (see below), whose sum is σ = 1006240200. Its totient is φ = 214935552.

The previous prime is 465974909. The next prime is 465974921. The reversal of 465974912 is 219479564.

It can be written as a sum of positive squares in 4 ways, for example, as 5271616 + 460703296 = 2296^2 + 21464^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×465974912² = 434265237226815488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280388 + ... + 282044.

Almost surely, 2^465974912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503120100).

465974912 is an abundant number, since it is smaller than the sum of its proper divisors (540265288).

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

465974912 is an equidigital number, since it uses as much as digits as its factorization.

465974912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1672 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The square root of 465974912 is about 21586.4520475228. The cubic root of 465974912 is about 775.2721414017.

The spelling of 465974912 in words is "four hundred sixty-five million, nine hundred seventy-four thousand, nine hundred twelve".