431268 has 24 divisors (see below), whose sum is σ = 1020768. Its totient is φ = 141696.

The previous prime is 431267. The next prime is 431269. The reversal of 431268 is 862134.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (431267) and next prime (431269).

It is a d-powerful number, because it can be written as 4³ + 3⁹ + 2¹⁷ + 1 + 6⁷ + 8³ .

It is not an unprimeable number, because it can be changed into a prime (431267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780 + ... + 1212.

It is an arithmetic number, because the mean of its divisors is an integer number (42532).

2⁴³¹²⁶⁸ is an apocalyptic number.

It is an amenable number.

431268 is an abundant number, since it is smaller than the sum of its proper divisors (589500).

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

431268 is a wasteful number, since it uses less digits than its factorization.

431268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 521 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 431268 is about 656.7099816510. The cubic root of 431268 is about 75.5525415304.

It can be divided in two parts, 43126 and 8, that added together give a palindrome (43134).

The spelling of 431268 in words is "four hundred thirty-one thousand, two hundred sixty-eight".