431296 has 28 divisors (see below), whose sum is σ = 896112. Its totient is φ = 205568.

The previous prime is 431287. The next prime is 431297. The reversal of 431296 is 692134.

It is a self number, because there is not a number n which added to its sum of digits gives 431296.

It is not an unprimeable number, because it can be changed into a prime (431297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1326 + ... + 1618.

It is an arithmetic number, because the mean of its divisors is an integer number (32004).

2⁴³¹²⁹⁶ is an apocalyptic number.

431296 is a gapful number since it is divisible by the number (46) 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 431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448056).

431296 is an abundant number, since it is smaller than the sum of its proper divisors (464816).

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

431296 is a wasteful number, since it uses less digits than its factorization.

431296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 431296 is about 656.7312996957. The cubic root of 431296 is about 75.5541765736.

It can be divided in two parts, 431 and 296, that added together give a palindrome (727).

The spelling of 431296 in words is "four hundred thirty-one thousand, two hundred ninety-six".