431631360 has 528 divisors, whose sum is σ = 1724392800. Its totient is φ = 99090432.

The previous prime is 431631359. The next prime is 431631419. The reversal of 431631360 is 63136134.

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 47 ways as a sum of consecutive naturals, for example, 14883826 + ... + 14883854.

Almost surely, 2^431631360 is an apocalyptic number.

431631360 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 431631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862196400).

431631360 is an abundant number, since it is smaller than the sum of its proper divisors (1292761440).

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

431631360 is a wasteful number, since it uses less digits than its factorization.

431631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 431631360 is about 20775.7396980228. The cubic root of 431631360 is about 755.7375422190.

Adding to 431631360 its reverse (63136134), we get a palindrome (494767494).

The spelling of 431631360 in words is "four hundred thirty-one million, six hundred thirty-one thousand, three hundred sixty".