393904 has 20 divisors (see below), whose sum is σ = 872464. Its totient is φ = 168768.

The previous prime is 393901. The next prime is 393919. The reversal of 393904 is 409393.

It is a super-2 number, since 2×393904² = 310320722432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (393901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1647 + ... + 1870.

2³⁹³⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

393904 is an abundant number, since it is smaller than the sum of its proper divisors (478560).

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

393904 is a wasteful number, since it uses less digits than its factorization.

393904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 393904 is about 627.6177180418. The cubic root of 393904 is about 73.3044146765.

The spelling of 393904 in words is "three hundred ninety-three thousand, nine hundred four".