390792 has 32 divisors (see below), whose sum is σ = 1029600. Its totient is φ = 123264.

The previous prime is 390791. The next prime is 390809. The reversal of 390792 is 297093.

390792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (390791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (32175).

2³⁹⁰⁷⁹² 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 390792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514800).

390792 is an abundant number, since it is smaller than the sum of its proper divisors (638808).

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

390792 is a wasteful number, since it uses less digits than its factorization.

390792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 390792 is about 625.1335857239. The cubic root of 390792 is about 73.1108592717.

The spelling of 390792 in words is "three hundred ninety thousand, seven hundred ninety-two".