390888 has 48 divisors (see below), whose sum is σ = 1088100. Its totient is φ = 126720.

The previous prime is 390883. The next prime is 390889. The reversal of 390888 is 888093.

390888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 79524 = 558^2 + 282^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (390883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4348 + ... + 4436.

2³⁹⁰⁸⁸⁸ 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 390888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544050).

390888 is an abundant number, since it is smaller than the sum of its proper divisors (697212).

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

390888 is a wasteful number, since it uses less digits than its factorization.

390888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 390888 is about 625.2103645974. The cubic root of 390888 is about 73.1168454637.

The spelling of 390888 in words is "three hundred ninety thousand, eight hundred eighty-eight".