264430264 has 96 divisors (see below), whose sum is σ = 609033600. Its totient is φ = 107110080.

The previous prime is 264430259. The next prime is 264430337. The reversal of 264430264 is 462034462.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253119 + ... + 1253329.

It is an arithmetic number, because the mean of its divisors is an integer number (6344100).

Almost surely, 2^264430264 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 264430264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304516800).

264430264 is an abundant number, since it is smaller than the sum of its proper divisors (344603336).

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

264430264 is a wasteful number, since it uses less digits than its factorization.

264430264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 264430264 is about 16261.3118781973. The cubic root of 264430264 is about 641.8551835445.

The spelling of 264430264 in words is "two hundred sixty-four million, four hundred thirty thousand, two hundred sixty-four".