431616816 has 80 divisors (see below), whose sum is σ = 1254681600. Its totient is φ = 142039872.

The previous prime is 431616743. The next prime is 431616817. The reversal of 431616816 is 618616134.

431616816 is a `hidden beast` number, since 4 + 31 + 616 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (431616817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27805 + ... + 40451.

It is an arithmetic number, because the mean of its divisors is an integer number (15683520).

Almost surely, 2^431616816 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 431616816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627340800).

431616816 is an abundant number, since it is smaller than the sum of its proper divisors (823064784).

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

431616816 is a wasteful number, since it uses less digits than its factorization.

431616816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12743 (or 12731 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 431616816 is about 20775.3896714358. The cubic root of 431616816 is about 755.7290538256.

The spelling of 431616816 in words is "four hundred thirty-one million, six hundred sixteen thousand, eight hundred sixteen".