431904132 has 72 divisors (see below), whose sum is σ = 1202685120. Its totient is φ = 129597120.

The previous prime is 431904113. The next prime is 431904149. The reversal of 431904132 is 231409134.

It is a junction number, because it is equal to n+sod(n) for n = 431904096 and 431904105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35494 + ... + 46082.

It is an arithmetic number, because the mean of its divisors is an integer number (16703960).

Almost surely, 2^431904132 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 431904132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601342560).

431904132 is an abundant number, since it is smaller than the sum of its proper divisors (770780988).

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

431904132 is a wasteful number, since it uses less digits than its factorization.

431904132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10713 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 431904132 is about 20782.3033372146. The cubic root of 431904132 is about 755.8967063040.

The spelling of 431904132 in words is "four hundred thirty-one million, nine hundred four thousand, one hundred thirty-two".