393920 has 28 divisors (see below), whose sum is σ = 938784. Its totient is φ = 157440.

The previous prime is 393919. The next prime is 393929. The reversal of 393920 is 29393.

It is a self number, because there is not a number n which added to its sum of digits gives 393920.

It is not an unprimeable number, because it can be changed into a prime (393929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 296 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (33528).

2³⁹³⁹²⁰ is an apocalyptic number.

It is an amenable number.

393920 is an abundant number, since it is smaller than the sum of its proper divisors (544864).

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

393920 is a wasteful number, since it uses less digits than its factorization.

393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 393920 is about 627.6304645251. The cubic root of 393920 is about 73.3054071813.

The spelling of 393920 in words is "three hundred ninety-three thousand, nine hundred twenty".