264808320 has 512 divisors, whose sum is σ = 1092787200. Its totient is φ = 53084160.

The previous prime is 264808273. The next prime is 264808331. The reversal of 264808320 is 23808462.

264808320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4341090 + ... + 4341150.

It is an arithmetic number, because the mean of its divisors is an integer number (2134350).

Almost surely, 2^264808320 is an apocalyptic number.

264808320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546393600).

264808320 is an abundant number, since it is smaller than the sum of its proper divisors (827978880).

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

264808320 is a wasteful number, since it uses less digits than its factorization.

264808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 264808320 is about 16272.9321266943. The cubic root of 264808320 is about 642.1609247117.

The spelling of 264808320 in words is "two hundred sixty-four million, eight hundred eight thousand, three hundred twenty".