431056 has 20 divisors (see below), whose sum is σ = 864900. Its totient is φ = 207872.

The previous prime is 431051. The next prime is 431063. The reversal of 431056 is 650134.

431056 is a nontrivial binomial coefficient, being equal to C(929, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 341056 = 300^2 + 584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 928.

It is an arithmetic number, because the mean of its divisors is an integer number (43245).

2⁴³¹⁰⁵⁶ is an apocalyptic number.

431056 is the 928-th triangular number.

431056 is the 310-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432450).

431056 is an abundant number, since it is smaller than the sum of its proper divisors (433844).

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

431056 is a wasteful number, since it uses less digits than its factorization.

431056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 431056 is about 656.5485511369. The cubic root of 431056 is about 75.5401596209.

The spelling of 431056 in words is "four hundred thirty-one thousand, fifty-six".