264808976 has 40 divisors (see below), whose sum is σ = 533637720. Its totient is φ = 127145984.

The previous prime is 264808969. The next prime is 264808979. The reversal of 264808976 is 679808462.

264808976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 62031376 + 202777600 = 7876^2 + 14240^2 .

It is not an unprimeable number, because it can be changed into a prime (264808979) 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, 89960 + ... + 92856.

It is an arithmetic number, because the mean of its divisors is an integer number (13340943).

Almost surely, 2^264808976 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 264808976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266818860).

264808976 is an abundant number, since it is smaller than the sum of its proper divisors (268828744).

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

264808976 is a wasteful number, since it uses less digits than its factorization.

264808976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The square root of 264808976 is about 16272.9522828527. The cubic root of 264808976 is about 642.1614549786.

The spelling of 264808976 in words is "two hundred sixty-four million, eight hundred eight thousand, nine hundred seventy-six".