431984 has 60 divisors (see below), whose sum is σ = 1060200. Its totient is φ = 169344.

The previous prime is 431983. The next prime is 431993. The reversal of 431984 is 489134.

It is a super-2 number, since 2×431984² = 373220352512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 431984.

It is not an unprimeable number, because it can be changed into a prime (431983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14882 + ... + 14910.

It is an arithmetic number, because the mean of its divisors is an integer number (17670).

2⁴³¹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530100).

431984 is an abundant number, since it is smaller than the sum of its proper divisors (628216).

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

431984 is a wasteful number, since it uses less digits than its factorization.

431984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 57 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 431984 is about 657.2548972811. The cubic root of 431984 is about 75.5943297073.

The spelling of 431984 in words is "four hundred thirty-one thousand, nine hundred eighty-four".