390908 has 24 divisors (see below), whose sum is σ = 817152. Its totient is φ = 159984.

The previous prime is 390893. The next prime is 390953. The reversal of 390908 is 809093.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

390908 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 7 ways as a sum of consecutive naturals, for example, 341 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (34048).

2³⁹⁰⁹⁰⁸ 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 390908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408576).

390908 is an abundant number, since it is smaller than the sum of its proper divisors (426244).

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

390908 is a wasteful number, since it uses less digits than its factorization.

390908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 390908 is about 625.2263590093. The cubic root of 390908 is about 73.1180924636.

The spelling of 390908 in words is "three hundred ninety thousand, nine hundred eight".