392280 has 64 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 89472.

The previous prime is 392279. The next prime is 392281. The reversal of 392280 is 82293.

It is an interprime number because it is at equal distance from previous prime (392279) and next prime (392281).

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

It is a self number, because there is not a number n which added to its sum of digits gives 392280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2³⁹²²⁸⁰ is an apocalyptic number.

392280 is a gapful number since it is divisible by the number (30) 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 392280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673920).

392280 is an abundant number, since it is smaller than the sum of its proper divisors (955560).

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

392280 is a wasteful number, since it uses less digits than its factorization.

392280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 392280 is about 626.3226005822. The cubic root of 392280 is about 73.2035353185.

The spelling of 392280 in words is "three hundred ninety-two thousand, two hundred eighty".