390944 has 24 divisors (see below), whose sum is σ = 811440. Its totient is φ = 184896.

The previous prime is 390893. The next prime is 390953. The reversal of 390944 is 449093.

390944 = T₁₉ + T₂₀ + ... + T₁₃₂.

It is a happy number.

It is a super-2 number, since 2×390944² = 305674422272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 287 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (33810).

2³⁹⁰⁹⁴⁴ 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 390944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405720).

390944 is an abundant number, since it is smaller than the sum of its proper divisors (420496).

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

390944 is a wasteful number, since it uses less digits than its factorization.

390944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

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

The square root of 390944 is about 625.2551479196. The cubic root of 390944 is about 73.1203369564.

The spelling of 390944 in words is "three hundred ninety thousand, nine hundred forty-four".