284000 has 48 divisors (see below), whose sum is σ = 707616. Its totient is φ = 112000.

The previous prime is 283979. The next prime is 284003. The reversal of 284000 is 482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284003) by changing a digit.

284000 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 7 ways as a sum of consecutive naturals, for example, 3965 + ... + 4035.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2²⁸⁴⁰⁰⁰ is an apocalyptic number.

284000 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 284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808).

284000 is an abundant number, since it is smaller than the sum of its proper divisors (423616).

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

284000 is an equidigital number, since it uses as much as digits as its factorization.

284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 284000 is about 532.9165037790. The cubic root of 284000 is about 65.7313845144.

Adding to 284000 its reverse (482), we get a palindrome (284482).

The spelling of 284000 in words is "two hundred eighty-four thousand".