392352 has 48 divisors (see below), whose sum is σ = 1062432. Its totient is φ = 126720.

The previous prime is 392351. The next prime is 392363. The reversal of 392352 is 253293.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁶ + 9 + 3⁶ + 2² + 5⁸ + 2⁸ .

It is not an unprimeable number, because it can be changed into a prime (392351) 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, 5823 + ... + 5889.

It is an arithmetic number, because the mean of its divisors is an integer number (22134).

2³⁹²³⁵² is an apocalyptic number.

392352 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 392352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531216).

392352 is an abundant number, since it is smaller than the sum of its proper divisors (670080).

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

392352 is a wasteful number, since it uses less digits than its factorization.

392352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 392352 is about 626.3800763115. The cubic root of 392352 is about 73.2080136946.

The spelling of 392352 in words is "three hundred ninety-two thousand, three hundred fifty-two".