390584 has 8 divisors (see below), whose sum is σ = 732360. Its totient is φ = 195288.

The previous prime is 390581. The next prime is 390647. The reversal of 390584 is 485093.

390584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×390584² = 305111722112, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24404 + ... + 24419.

It is an arithmetic number, because the mean of its divisors is an integer number (91545).

2³⁹⁰⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

390584 is a deficient number, since it is larger than the sum of its proper divisors (341776).

390584 is a wasteful number, since it uses less digits than its factorization.

390584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48829 (or 48825 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 390584 is about 624.9671991393. The cubic root of 390584 is about 73.0978858250.

The spelling of 390584 in words is "three hundred ninety thousand, five hundred eighty-four".