338415264 has 72 divisors (see below), whose sum is σ = 1049866272. Its totient is φ = 102549120.

The previous prime is 338415257. The next prime is 338415281. The reversal of 338415264 is 462514833.

338415264 is a `hidden beast` number, since 3 + 384 + 15 + 264 = 666.

338415264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×338415264² = 229049781816379392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50244 + ... + 56579.

It is an arithmetic number, because the mean of its divisors is an integer number (14581476).

Almost surely, 2^338415264 is an apocalyptic number.

It is an amenable number.

338415264 is an abundant number, since it is smaller than the sum of its proper divisors (711451008).

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

338415264 is a wasteful number, since it uses less digits than its factorization.

338415264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106850 (or 106839 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 338415264 is about 18396.0665360832. The cubic root of 338415264 is about 696.8671316559.

The spelling of 338415264 in words is "three hundred thirty-eight million, four hundred fifteen thousand, two hundred sixty-four".