431085504 has 224 divisors, whose sum is σ = 1273430016. Its totient is φ = 128240640.

The previous prime is 431085503. The next prime is 431085511. The reversal of 431085504 is 405580134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431085503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6434079 + ... + 6434145.

Almost surely, 2^431085504 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 431085504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636715008).

431085504 is an abundant number, since it is smaller than the sum of its proper divisors (842344512).

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

431085504 is a wasteful number, since it uses less digits than its factorization.

431085504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 431085504 is about 20762.5986812826. The cubic root of 431085504 is about 755.4188305206.

The spelling of 431085504 in words is "four hundred thirty-one million, eighty-five thousand, five hundred four".