284432 has 20 divisors (see below), whose sum is σ = 571020. Its totient is φ = 137088.

The previous prime is 284429. The next prime is 284447. The reversal of 284432 is 234482.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 234256 = 224^2 + 484^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 284398 and 284407.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158 + ... + 770.

It is an arithmetic number, because the mean of its divisors is an integer number (28551).

2²⁸⁴⁴³² 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 284432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285510).

284432 is an abundant number, since it is smaller than the sum of its proper divisors (286588).

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

284432 is a wasteful number, since it uses less digits than its factorization.

284432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 284432 is about 533.3216665391. The cubic root of 284432 is about 65.7646962190.

The spelling of 284432 in words is "two hundred eighty-four thousand, four hundred thirty-two".