264204960 has 48 divisors (see below), whose sum is σ = 832247136. Its totient is φ = 70454528.

The previous prime is 264204959. The next prime is 264204989. The reversal of 264204960 is 69402462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274734 + ... + 275693.

It is an arithmetic number, because the mean of its divisors is an integer number (17338482).

Almost surely, 2^264204960 is an apocalyptic number.

264204960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264204960 is an abundant number, since it is smaller than the sum of its proper divisors (568042176).

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

264204960 is a wasteful number, since it uses less digits than its factorization.

264204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550445 (or 550437 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 264204960 is about 16254.3827935729. The cubic root of 264204960 is about 641.6728372563.

The spelling of 264204960 in words is "two hundred sixty-four million, two hundred four thousand, nine hundred sixty".