431516416 has 36 divisors (see below), whose sum is σ = 873515664. Its totient is φ = 212710400.

The previous prime is 431516401. The next prime is 431516453. The reversal of 431516416 is 614615134.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6306 + ... + 30046.

It is an arithmetic number, because the mean of its divisors is an integer number (24264324).

Almost surely, 2^431516416 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 431516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436757832).

431516416 is an abundant number, since it is smaller than the sum of its proper divisors (441999248).

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

431516416 is an equidigital number, since it uses as much as digits as its factorization.

431516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23828 (or 23814 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 431516416 is about 20772.9732104001. The cubic root of 431516416 is about 755.6704516287.

The spelling of 431516416 in words is "four hundred thirty-one million, five hundred sixteen thousand, four hundred sixteen".