392392 has 64 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 141120.

The previous prime is 392389. The next prime is 392423. The reversal of 392392 is 293293.

It is a happy number.

392392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 392392.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30178 + ... + 30190.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2³⁹²³⁹² 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 392392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

392392 is an abundant number, since it is smaller than the sum of its proper divisors (615608).

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

392392 is a wasteful number, since it uses less digits than its factorization.

392392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 33 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

The square root of 392392 is about 626.4120049935. The cubic root of 392392 is about 73.2105014446.

Subtracting from 392392 its reverse (293293), we obtain a palindrome (99099).

It can be divided in two parts, 392 and 392, that added together give a square (784 = 28²).

The spelling of 392392 in words is "three hundred ninety-two thousand, three hundred ninety-two".