390412 has 24 divisors (see below), whose sum is σ = 786240. Its totient is φ = 167760.

The previous prime is 390407. The next prime is 390413. The reversal of 390412 is 214093.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 390412.

It is not an unprimeable number, because it can be changed into a prime (390413) by changing a digit.

390412 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, 603 + ... + 1069.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2³⁹⁰⁴¹² is an apocalyptic number.

It is an amenable number.

390412 is an abundant number, since it is smaller than the sum of its proper divisors (395828).

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

390412 is a wasteful number, since it uses less digits than its factorization.

390412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 390412 is about 624.8295767647. The cubic root of 390412 is about 73.0871543030.

It can be divided in two parts, 3904 and 12, that added together give a triangular number (3916 = T₈₈).

The spelling of 390412 in words is "three hundred ninety thousand, four hundred twelve".