264232960 has 56 divisors (see below), whose sum is σ = 634218696. Its totient is φ = 105676800.

The previous prime is 264232909. The next prime is 264232999. The reversal of 264232960 is 69232462.

It is a happy number.

264232960 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37735 + ... + 44185.

Almost surely, 2^264232960 is an apocalyptic number.

264232960 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 264232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317109348).

264232960 is an abundant number, since it is smaller than the sum of its proper divisors (369985736).

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

264232960 is an frugal number, since it uses more digits than its factorization.

264232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 264232960 is about 16255.2440769125. The cubic root of 264232960 is about 641.6955042605.

The spelling of 264232960 in words is "two hundred sixty-four million, two hundred thirty-two thousand, nine hundred sixty".