393908 has 24 divisors (see below), whose sum is σ = 745920. Its totient is φ = 181440.

The previous prime is 393901. The next prime is 393919. The reversal of 393908 is 809393.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5360 + ... + 5432.

It is an arithmetic number, because the mean of its divisors is an integer number (31080).

2³⁹³⁹⁰⁸ is an apocalyptic number.

393908 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

393908 is a deficient number, since it is larger than the sum of its proper divisors (352012).

393908 is a wasteful number, since it uses less digits than its factorization.

393908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 393908 is about 627.6209046869. The cubic root of 393908 is about 73.3046628052.

The spelling of 393908 in words is "three hundred ninety-three thousand, nine hundred eight".