390368 has 24 divisors (see below), whose sum is σ = 839160. Its totient is φ = 177280.

The previous prime is 390367. The next prime is 390373. The reversal of 390368 is 863093.

It is an Ulam number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 390368.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 390368.

It is not an unprimeable number, because it can be changed into a prime (390367) 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, 203 + ... + 906.

It is an arithmetic number, because the mean of its divisors is an integer number (34965).

2³⁹⁰³⁶⁸ is an apocalyptic number.

It is an amenable number.

390368 is an abundant number, since it is smaller than the sum of its proper divisors (448792).

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

390368 is a wasteful number, since it uses less digits than its factorization.

390368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 390368 is about 624.7943661718. The cubic root of 390368 is about 73.0844085237.

The spelling of 390368 in words is "three hundred ninety thousand, three hundred sixty-eight".