393675264 has 120 divisors (see below), whose sum is σ = 1167386220. Its totient is φ = 127623168.

The previous prime is 393675263. The next prime is 393675283. The reversal of 393675264 is 462576393.

It can be written as a sum of positive squares in 2 ways, for example, as 330948864 + 62726400 = 18192^2 + 7920^2 .

It is not an unprimeable number, because it can be changed into a prime (393675263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169342 + ... + 171650.

Almost surely, 2^393675264 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 393675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583693110).

393675264 is an abundant number, since it is smaller than the sum of its proper divisors (773710956).

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

393675264 is a wasteful number, since it uses less digits than its factorization.

393675264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2351 counting only the distinct ones).

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

The square root of 393675264 is about 19841.2515734265. The cubic root of 393675264 is about 732.9022288937.

The spelling of 393675264 in words is "three hundred ninety-three million, six hundred seventy-five thousand, two hundred sixty-four".