431283312 has 80 divisors (see below), whose sum is σ = 1240476160. Its totient is φ = 143467200.

The previous prime is 431283289. The next prime is 431283317. The reversal of 431283312 is 213382134.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431283317) 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, 349737 + ... + 350967.

It is an arithmetic number, because the mean of its divisors is an integer number (15505952).

Almost surely, 2^431283312 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 431283312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620238080).

431283312 is an abundant number, since it is smaller than the sum of its proper divisors (809192848).

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

431283312 is a wasteful number, since it uses less digits than its factorization.

431283312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2047 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 431283312 is about 20767.3617005146. The cubic root of 431283312 is about 755.5343567421.

The spelling of 431283312 in words is "four hundred thirty-one million, two hundred eighty-three thousand, three hundred twelve".