390588 has 36 divisors (see below), whose sum is σ = 1005480. Its totient is φ = 117920.

The previous prime is 390581. The next prime is 390647. The reversal of 390588 is 885093.

390588 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 390588.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1318 + ... + 1586.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

390588 is a Friedman number, since it can be written as 9^0-38+5^8, using all its digits and the basic arithmetic operations.

2³⁹⁰⁵⁸⁸ 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 390588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502740).

390588 is an abundant number, since it is smaller than the sum of its proper divisors (614892).

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

390588 is a wasteful number, since it uses less digits than its factorization.

390588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 390588 is about 624.9703992990. The cubic root of 390588 is about 73.0981353578.

It can be divided in two parts, 3905 and 88, that added together give a palindrome (3993).

The spelling of 390588 in words is "three hundred ninety thousand, five hundred eighty-eight".