264790464 has 56 divisors (see below), whose sum is σ = 717700368. Its totient is φ = 86108160.

The previous prime is 264790451. The next prime is 264790469. The reversal of 264790464 is 464097462.

It is a super-2 number, since 2×264790464² = 140227979650670592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264790469) 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, 8947 + ... + 24690.

It is an arithmetic number, because the mean of its divisors is an integer number (12816078).

Almost surely, 2^264790464 is an apocalyptic number.

264790464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264790464 is an abundant number, since it is smaller than the sum of its proper divisors (452909904).

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

264790464 is a wasteful number, since it uses less digits than its factorization.

264790464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33693 (or 33683 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 264790464 is about 16272.3834763073. The cubic root of 264790464 is about 642.1464907705.

The spelling of 264790464 in words is "two hundred sixty-four million, seven hundred ninety thousand, four hundred sixty-four".