284200 has 72 divisors (see below), whose sum is σ = 795150. Its totient is φ = 94080.

The previous prime is 284191. The next prime is 284201. The reversal of 284200 is 2482.

It can be written as a sum of positive squares in 3 ways, for example, as 213444 + 70756 = 462^2 + 266^2 .

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

284200 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 17 ways as a sum of consecutive naturals, for example, 9786 + ... + 9814.

2²⁸⁴²⁰⁰ is an apocalyptic number.

284200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397575).

284200 is an abundant number, since it is smaller than the sum of its proper divisors (510950).

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

284200 is a wasteful number, since it uses less digits than its factorization.

284200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 284200 is about 533.1041174105. The cubic root of 284200 is about 65.7468107963.

Adding to 284200 its reverse (2482), we get a palindrome (286682).

It can be divided in two parts, 284 and 200, that added together give a palindrome (484).

The spelling of 284200 in words is "two hundred eighty-four thousand, two hundred".