264960288 has 96 divisors (see below), whose sum is σ = 775656000. Its totient is φ = 87994368.

The previous prime is 264960257. The next prime is 264960313. The reversal of 264960288 is 882069462.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387595 + ... + 388277.

It is an arithmetic number, because the mean of its divisors is an integer number (8079750).

Almost surely, 2^264960288 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 264960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387828000).

264960288 is an abundant number, since it is smaller than the sum of its proper divisors (510695712).

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

264960288 is a wasteful number, since it uses less digits than its factorization.

264960288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 264960288 is about 16277.6008060156. The cubic root of 264960288 is about 642.2837421638.

The spelling of 264960288 in words is "two hundred sixty-four million, nine hundred sixty thousand, two hundred eighty-eight".