431232816 has 160 divisors (see below), whose sum is σ = 1384038400. Its totient is φ = 112907520.

The previous prime is 431232811. The next prime is 431232859. The reversal of 431232816 is 618232134.

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 (431232811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196815 + ... + 198993.

It is an arithmetic number, because the mean of its divisors is an integer number (8650240).

Almost surely, 2^431232816 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 431232816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692019200).

431232816 is an abundant number, since it is smaller than the sum of its proper divisors (952805584).

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

431232816 is a wasteful number, since it uses less digits than its factorization.

431232816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2241 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 431232816 is about 20766.1459110736. The cubic root of 431232816 is about 755.5048688156.

It can be divided in two parts, 4312 and 32816, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 431232816 in words is "four hundred thirty-one million, two hundred thirty-two thousand, eight hundred sixteen".