431136960 has 112 divisors (see below), whose sum is σ = 1389497856. Its totient is φ = 113236992.

The previous prime is 431136947. The next prime is 431136973. The reversal of 431136960 is 69631134.

It is an interprime number because it is at equal distance from previous prime (431136947) and next prime (431136973).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60969 + ... + 67671.

Almost surely, 2^431136960 is an apocalyptic number.

431136960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694748928).

431136960 is an abundant number, since it is smaller than the sum of its proper divisors (958360896).

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

431136960 is a wasteful number, since it uses less digits than its factorization.

431136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 431136960 is about 20763.8377955522. The cubic root of 431136960 is about 755.4488858766.

The spelling of 431136960 in words is "four hundred thirty-one million, one hundred thirty-six thousand, nine hundred sixty".