284256 has 96 divisors (see below), whose sum is σ = 967680. Its totient is φ = 79488.

The previous prime is 284243. The next prime is 284261. The reversal of 284256 is 652482.

284256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 284256.

It is an unprimeable number.

284256 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 6025 + ... + 6071.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2²⁸⁴²⁵⁶ 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 284256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

284256 is an abundant number, since it is smaller than the sum of its proper divisors (683424).

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

284256 is a wasteful number, since it uses less digits than its factorization.

284256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 284256 is about 533.1566373966. The cubic root of 284256 is about 65.7511288582.

The spelling of 284256 in words is "two hundred eighty-four thousand, two hundred fifty-six".