264055456 has 96 divisors (see below), whose sum is σ = 627056640. Its totient is φ = 107010816.

The previous prime is 264055439. The next prime is 264055499. The reversal of 264055456 is 654550462.

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, 551025 + ... + 551503.

It is an arithmetic number, because the mean of its divisors is an integer number (6531840).

Almost surely, 2^264055456 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 264055456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313528320).

264055456 is an abundant number, since it is smaller than the sum of its proper divisors (363001184).

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

264055456 is a wasteful number, since it uses less digits than its factorization.

264055456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The square root of 264055456 is about 16249.7832600930. The cubic root of 264055456 is about 641.5517812947.

The spelling of 264055456 in words is "two hundred sixty-four million, fifty-five thousand, four hundred fifty-six".