431738216 has 144 divisors (see below), whose sum is σ = 1076479200. Its totient is φ = 161808192.

The previous prime is 431738213. The next prime is 431738233. The reversal of 431738216 is 612837134.

It is not an unprimeable number, because it can be changed into a prime (431738213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22723055 + ... + 22723073.

It is an arithmetic number, because the mean of its divisors is an integer number (7475550).

Almost surely, 2^431738216 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 431738216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538239600).

431738216 is an abundant number, since it is smaller than the sum of its proper divisors (644740984).

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

431738216 is an equidigital number, since it uses as much as digits as its factorization.

431738216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 431738216 is about 20778.3111922023. The cubic root of 431738216 is about 755.7999013177.

The spelling of 431738216 in words is "four hundred thirty-one million, seven hundred thirty-eight thousand, two hundred sixteen".