392256 has 56 divisors (see below), whose sum is σ = 1158240. Its totient is φ = 130176.

The previous prime is 392251. The next prime is 392261. The reversal of 392256 is 652293.

It is an interprime number because it is at equal distance from previous prime (392251) and next prime (392261).

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

It is not an unprimeable number, because it can be changed into a prime (392251) by changing a digit.

392256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1615 + ... + 1841.

2³⁹²²⁵⁶ is an apocalyptic number.

392256 is a gapful number since it is divisible by the number (36) 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 392256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579120).

392256 is an abundant number, since it is smaller than the sum of its proper divisors (765984).

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

392256 is a wasteful number, since it uses less digits than its factorization.

392256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 392256 is about 626.3034408336. The cubic root of 392256 is about 73.2020424047.

The spelling of 392256 in words is "three hundred ninety-two thousand, two hundred fifty-six".