392364 has 60 divisors (see below), whose sum is σ = 1179024. Its totient is φ = 111456.

The previous prime is 392363. The next prime is 392383. The reversal of 392364 is 463293.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 392364.

It is not an unprimeable number, because it can be changed into a prime (392363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2182 + ... + 2354.

2³⁹²³⁶⁴ 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 392364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589512).

392364 is an abundant number, since it is smaller than the sum of its proper divisors (786660).

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

392364 is a wasteful number, since it uses less digits than its factorization.

392364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 392364 is about 626.3896550870. The cubic root of 392364 is about 73.2087600374.

The spelling of 392364 in words is "three hundred ninety-two thousand, three hundred sixty-four".