285306432 has 112 divisors (see below), whose sum is σ = 800648640. Its totient is φ = 89413632.

The previous prime is 285306409. The next prime is 285306457. The reversal of 285306432 is 234603582.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 285306393 and 285306402.

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, 718458 + ... + 718854.

Almost surely, 2^285306432 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 285306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400324320).

285306432 is an abundant number, since it is smaller than the sum of its proper divisors (515342208).

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

285306432 is a wasteful number, since it uses less digits than its factorization.

285306432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 285306432 is about 16891.0163104533. The cubic root of 285306432 is about 658.3202095053.

The spelling of 285306432 in words is "two hundred eighty-five million, three hundred six thousand, four hundred thirty-two".