431985312 has 240 divisors, whose sum is σ = 1408730400. Its totient is φ = 128770560.

The previous prime is 431985299. The next prime is 431985331. The reversal of 431985312 is 213589134.

431985312 is a `hidden beast` number, since 4 + 31 + 98 + 531 + 2 = 666.

It is a super-2 number, since 2×431985312² = 373222619567474688, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3107739 + ... + 3107877.

It is an arithmetic number, because the mean of its divisors is an integer number (5869710).

Almost surely, 2^431985312 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 431985312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704365200).

431985312 is an abundant number, since it is smaller than the sum of its proper divisors (976745088).

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

431985312 is a wasteful number, since it uses less digits than its factorization.

431985312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 431985312 is about 20784.2563494584. The cubic root of 431985312 is about 755.9440623767.

The spelling of 431985312 in words is "four hundred thirty-one million, nine hundred eighty-five thousand, three hundred twelve".