392224 has 48 divisors (see below), whose sum is σ = 943488. Its totient is φ = 156672.

The previous prime is 392221. The next prime is 392233. The reversal of 392224 is 422293.

392224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 392195 and 392204.

It is not an unprimeable number, because it can be changed into a prime (392221) 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, 3757 + ... + 3859.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2³⁹²²²⁴ is an apocalyptic number.

392224 is a gapful number since it is divisible by the number (34) 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 392224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

392224 is an abundant number, since it is smaller than the sum of its proper divisors (551264).

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

392224 is a wasteful number, since it uses less digits than its factorization.

392224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 392224 is about 626.2778935904. The cubic root of 392224 is about 73.2000517583.

It can be divided in two parts, 392 and 224, that added together give a palindrome (616).

The spelling of 392224 in words is "three hundred ninety-two thousand, two hundred twenty-four".