390192 has 40 divisors (see below), whose sum is σ = 1101120. Its totient is φ = 118080.

The previous prime is 390191. The next prime is 390193. The reversal of 390192 is 291093.

It is a happy number.

390192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (390191) and next prime (390193).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (390191) 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, 159 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (27528).

2³⁹⁰¹⁹² 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 390192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550560).

390192 is an abundant number, since it is smaller than the sum of its proper divisors (710928).

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

390192 is a wasteful number, since it uses less digits than its factorization.

390192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 390192 is about 624.6535039524. The cubic root of 390192 is about 73.0734233426.

Subtracting from 390192 its reverse (291093), we obtain a palindrome (99099).

It can be divided in two parts, 3901 and 92, that added together give a palindrome (3993).

The spelling of 390192 in words is "three hundred ninety thousand, one hundred ninety-two".