286630432 has 96 divisors (see below), whose sum is σ = 652639680. Its totient is φ = 122680320.

The previous prime is 286630417. The next prime is 286630451. The reversal of 286630432 is 234036682.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438618 + ... + 439270.

It is an arithmetic number, because the mean of its divisors is an integer number (6798330).

Almost surely, 2^286630432 is an apocalyptic number.

286630432 is a gapful number since it is divisible by the number (22) 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 286630432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326319840).

286630432 is an abundant number, since it is smaller than the sum of its proper divisors (366009248).

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

286630432 is a wasteful number, since it uses less digits than its factorization.

286630432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 286630432 is about 16930.1633778295. The cubic root of 286630432 is about 659.3369772614.

The spelling of 286630432 in words is "two hundred eighty-six million, six hundred thirty thousand, four hundred thirty-two".