390906 has 40 divisors (see below), whose sum is σ = 929280. Its totient is φ = 122472.

The previous prime is 390893. The next prime is 390953. The reversal of 390906 is 609093.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 390906.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3015 + ... + 3141.

It is an arithmetic number, because the mean of its divisors is an integer number (23232).

2³⁹⁰⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464640).

390906 is an abundant number, since it is smaller than the sum of its proper divisors (538374).

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

390906 is a wasteful number, since it uses less digits than its factorization.

390906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 390906 is about 625.2247595865. The cubic root of 390906 is about 73.1179677656.

Adding to 390906 its reverse (609093), we get a palindrome (999999).

It can be divided in two parts, 390 and 906, that added together give a 4-th power (1296 = 6⁴).

The spelling of 390906 in words is "three hundred ninety thousand, nine hundred six".