390208 has 56 divisors (see below), whose sum is σ = 967232. Its totient is φ = 152064.

The previous prime is 390199. The next prime is 390209. The reversal of 390208 is 802093.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (390209) by changing a digit.

390208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5791 + ... + 5857.

It is an arithmetic number, because the mean of its divisors is an integer number (17272).

2³⁹⁰²⁰⁸ 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 390208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483616).

390208 is an abundant number, since it is smaller than the sum of its proper divisors (577024).

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

390208 is a wasteful number, since it uses less digits than its factorization.

390208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 390208 is about 624.6663109213. Note that the first 3 decimals coincide. The cubic root of 390208 is about 73.0744221319.

The spelling of 390208 in words is "three hundred ninety thousand, two hundred eight".