256432 has 40 divisors (see below), whose sum is σ = 571392. Its totient is φ = 110400.

The previous prime is 256423. The next prime is 256441. The reversal of 256432 is 234652.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (256423) and next prime (256441).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 2 + 5⁷ + 4⁵ + 6 + 3¹¹ + 2⁷ .

256432 is a modest number, since divided by 432 gives 256 as remainder.

It is an unprimeable number.

256432 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, 5433 + ... + 5479.

2²⁵⁶⁴³² is an apocalyptic number.

256432 is a gapful number since it is divisible by the number (22) 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 256432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696).

256432 is an abundant number, since it is smaller than the sum of its proper divisors (314960).

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

256432 is a wasteful number, since it uses less digits than its factorization.

256432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 256432 is about 506.3911531613. The cubic root of 256432 is about 63.5317385307.

It can be divided in two parts, 256 and 432, that multiplied together give a cube (110592 = 48³).

The spelling of 256432 in words is "two hundred fifty-six thousand, four hundred thirty-two".