390948 has 12 divisors (see below), whose sum is σ = 912240. Its totient is φ = 130312.

The previous prime is 390893. The next prime is 390953. The reversal of 390948 is 849093.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 390948.

It is an unprimeable number.

390948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16278 + ... + 16301.

It is an arithmetic number, because the mean of its divisors is an integer number (76020).

2³⁹⁰⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

390948 is an abundant number, since it is smaller than the sum of its proper divisors (521292).

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

390948 is a wasteful number, since it uses less digits than its factorization.

390948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32586 (or 32584 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 390948 is about 625.2583466056. The cubic root of 390948 is about 73.1205863360.

It can be divided in two parts, 3 and 90948, that added together give a triangular number (90951 = T₄₂₆).

The spelling of 390948 in words is "three hundred ninety thousand, nine hundred forty-eight".