284284 has 48 divisors (see below), whose sum is σ = 677376. Its totient is φ = 100800.

The previous prime is 284269. The next prime is 284293. The reversal of 284284 is 482482.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 16.

It is a congruent number.

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, 3969 + ... + 4039.

It is an arithmetic number, because the mean of its divisors is an integer number (14112).

2²⁸⁴²⁸⁴ 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 284284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688).

284284 is an abundant number, since it is smaller than the sum of its proper divisors (393092).

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

284284 is a wasteful number, since it uses less digits than its factorization.

284284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 284284 is about 533.1828954496. The cubic root of 284284 is about 65.7532876765.

284284 divided by its sum of digits (28) gives a triangular number (10153 = T₁₄₂).

It can be divided in two parts, 2842 and 84, that added together give a triangular number (2926 = T₇₆).

The spelling of 284284 in words is "two hundred eighty-four thousand, two hundred eighty-four".