431903682 has 48 divisors (see below), whose sum is σ = 1073217600. Its totient is φ = 122969376.

The previous prime is 431903651. The next prime is 431903711. The reversal of 431903682 is 286309134.

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, 31069 + ... + 42767.

It is an arithmetic number, because the mean of its divisors is an integer number (22358700).

Almost surely, 2^431903682 is an apocalyptic number.

431903682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 431903682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536608800).

431903682 is an abundant number, since it is smaller than the sum of its proper divisors (641313918).

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

431903682 is a wasteful number, since it uses less digits than its factorization.

431903682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12007 (or 12004 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 431903682 is about 20782.2925106928. The cubic root of 431903682 is about 755.8964437815.

The spelling of 431903682 in words is "four hundred thirty-one million, nine hundred three thousand, six hundred eighty-two".