465651264 has 112 divisors (see below), whose sum is σ = 1334950848. Its totient is φ = 142399488.

The previous prime is 465651239. The next prime is 465651271. The reversal of 465651264 is 462156564.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491239 + ... + 492185.

It is an arithmetic number, because the mean of its divisors is an integer number (11919204).

Almost surely, 2^465651264 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 465651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667475424).

465651264 is an abundant number, since it is smaller than the sum of its proper divisors (869299584).

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

465651264 is a wasteful number, since it uses less digits than its factorization.

465651264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1162 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 465651264 is about 21578.9541915265. The cubic root of 465651264 is about 775.0926085656.

The spelling of 465651264 in words is "four hundred sixty-five million, six hundred fifty-one thousand, two hundred sixty-four".