431952 has 20 divisors (see below), whose sum is σ = 1116000. Its totient is φ = 143968.

The previous prime is 431947. The next prime is 431983. The reversal of 431952 is 259134.

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

It is a congruent number.

It is an unprimeable number.

431952 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, 4452 + ... + 4547.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

2⁴³¹⁹⁵² is an apocalyptic number.

It is an amenable number.

431952 is an abundant number, since it is smaller than the sum of its proper divisors (684048).

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

431952 is a wasteful number, since it uses less digits than its factorization.

431952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010 (or 9004 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 431952 is about 657.2305531547. The cubic root of 431952 is about 75.5924630654.

It can be divided in two parts, 4319 and 52, that added together give a triangular number (4371 = T₉₃).

The spelling of 431952 in words is "four hundred thirty-one thousand, nine hundred fifty-two".