431688 has 16 divisors (see below), whose sum is σ = 1079280. Its totient is φ = 143888.

The previous prime is 431671. The next prime is 431693. The reversal of 431688 is 886134.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

431688 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 3 ways as a sum of consecutive naturals, for example, 8970 + ... + 9017.

It is an arithmetic number, because the mean of its divisors is an integer number (67455).

2⁴³¹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

431688 is an abundant number, since it is smaller than the sum of its proper divisors (647592).

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

431688 is a wasteful number, since it uses less digits than its factorization.

431688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17996 (or 17992 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 431688 is about 657.0296796949. The cubic root of 431688 is about 75.5770597511.

The spelling of 431688 in words is "four hundred thirty-one thousand, six hundred eighty-eight".