284320 has 24 divisors (see below), whose sum is σ = 672084. Its totient is φ = 113664.

The previous prime is 284311. The next prime is 284341. The reversal of 284320 is 23482.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 1296 = 532^2 + 36^2 .

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, 729 + ... + 1048.

2²⁸⁴³²⁰ is an apocalyptic number.

284320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284320 is an abundant number, since it is smaller than the sum of its proper divisors (387764).

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

284320 is a wasteful number, since it uses less digits than its factorization.

284320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 284320 is about 533.2166539035. The cubic root of 284320 is about 65.7560630917.

The spelling of 284320 in words is "two hundred eighty-four thousand, three hundred twenty".