431716852 has 72 divisors (see below), whose sum is σ = 916997760. Its totient is φ = 177105600.

The previous prime is 431716847. The next prime is 431716907. The reversal of 431716852 is 258617134.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 858033 + ... + 858535.

It is an arithmetic number, because the mean of its divisors is an integer number (12736080).

Almost surely, 2^431716852 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 431716852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458498880).

431716852 is an abundant number, since it is smaller than the sum of its proper divisors (485280908).

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

431716852 is a wasteful number, since it uses less digits than its factorization.

431716852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 692 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 431716852 is about 20777.7970920885. The cubic root of 431716852 is about 755.7874345227.

The spelling of 431716852 in words is "four hundred thirty-one million, seven hundred sixteen thousand, eight hundred fifty-two".