392832 has 96 divisors (see below), whose sum is σ = 1272960. Its totient is φ = 115200.

The previous prime is 392831. The next prime is 392837. The reversal of 392832 is 238293.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 392796 and 392805.

It is not an unprimeable number, because it can be changed into a prime (392831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12657 + ... + 12687.

It is an arithmetic number, because the mean of its divisors is an integer number (13260).

2³⁹²⁸³² is an apocalyptic number.

392832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636480).

392832 is an abundant number, since it is smaller than the sum of its proper divisors (880128).

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

392832 is a wasteful number, since it uses less digits than its factorization.

392832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 392832 is about 626.7631131456. The cubic root of 392832 is about 73.2378555427.

The spelling of 392832 in words is "three hundred ninety-two thousand, eight hundred thirty-two".