264953376 has 192 divisors, whose sum is σ = 822528000. Its totient is φ = 82798848.

The previous prime is 264953363. The next prime is 264953407. The reversal of 264953376 is 673359462.

264953376 is a `hidden beast` number, since 2 + 6 + 49 + 533 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1331325 + ... + 1331523.

It is an arithmetic number, because the mean of its divisors is an integer number (4284000).

Almost surely, 2^264953376 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 264953376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264000).

264953376 is an abundant number, since it is smaller than the sum of its proper divisors (557574624).

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

264953376 is a wasteful number, since it uses less digits than its factorization.

264953376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 264953376 is about 16277.3884883294. The cubic root of 264953376 is about 642.2781570453.

The spelling of 264953376 in words is "two hundred sixty-four million, nine hundred fifty-three thousand, three hundred seventy-six".