431808 has 56 divisors (see below), whose sum is σ = 1237488. Its totient is φ = 132096.

The previous prime is 431807. The next prime is 431831. The reversal of 431808 is 808134.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (431801) 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, 2410 + ... + 2582.

It is an arithmetic number, because the mean of its divisors is an integer number (22098).

2⁴³¹⁸⁰⁸ is an apocalyptic number.

431808 is a gapful number since it is divisible by the number (48) 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 431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618744).

431808 is an abundant number, since it is smaller than the sum of its proper divisors (805680).

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

431808 is a wasteful number, since it uses less digits than its factorization.

431808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 431808 is about 657.1209934251. The cubic root of 431808 is about 75.5840620359.

The spelling of 431808 in words is "four hundred thirty-one thousand, eight hundred eight".