431256 has 64 divisors (see below), whose sum is σ = 1313280. Its totient is φ = 115200.

The previous prime is 431251. The next prime is 431257. The reversal of 431256 is 652134.

It is a happy number.

431256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

Its product of digits (720) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2781 + ... + 2931.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2⁴³¹²⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640).

431256 is an abundant number, since it is smaller than the sum of its proper divisors (882024).

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

431256 is a wasteful number, since it uses less digits than its factorization.

431256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 431256 is about 656.7008451342. The cubic root of 431256 is about 75.5518407760.

The spelling of 431256 in words is "four hundred thirty-one thousand, two hundred fifty-six".