375264 has 36 divisors (see below), whose sum is σ = 1067976. Its totient is φ = 124992.

The previous prime is 375259. The next prime is 375281. The reversal of 375264 is 462573.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

375264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (29666).

2³⁷⁵²⁶⁴ is an apocalyptic number.

It is an amenable number.

375264 is an abundant number, since it is smaller than the sum of its proper divisors (692712).

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

375264 is a wasteful number, since it uses less digits than its factorization.

375264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1308 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 375264 is about 612.5879528688. The cubic root of 375264 is about 72.1293969408.

The spelling of 375264 in words is "three hundred seventy-five thousand, two hundred sixty-four".