431480 has 64 divisors (see below), whose sum is σ = 1175040. Its totient is φ = 139392.

The previous prime is 431479. The next prime is 431513. The reversal of 431480 is 84134.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6407 + ... + 6473.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2⁴³¹⁴⁸⁰ is an apocalyptic number.

431480 is a gapful number since it is divisible by the number (40) 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 431480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587520).

431480 is an abundant number, since it is smaller than the sum of its proper divisors (743560).

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

431480 is a wasteful number, since it uses less digits than its factorization.

431480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 431480 is about 656.8713724924. The cubic root of 431480 is about 75.5649193828.

The spelling of 431480 in words is "four hundred thirty-one thousand, four hundred eighty".