284208 has 40 divisors (see below), whose sum is σ = 761856. Its totient is φ = 91200.

The previous prime is 284201. The next prime is 284227. The reversal of 284208 is 802482.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284208.

It is not an unprimeable number, because it can be changed into a prime (284201) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1393 + ... + 1583.

2²⁸⁴²⁰⁸ 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 284208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380928).

284208 is an abundant number, since it is smaller than the sum of its proper divisors (477648).

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

284208 is a wasteful number, since it uses less digits than its factorization.

284208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 284208 is about 533.1116205824. Note that the first 3 decimals coincide. The cubic root of 284208 is about 65.7474276970.

The spelling of 284208 in words is "two hundred eighty-four thousand, two hundred eight".