284004 has 72 divisors (see below), whose sum is σ = 873600. Its totient is φ = 77616.

The previous prime is 284003. The next prime is 284023. The reversal of 284004 is 400482.

It is a happy number.

284004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12337 + ... + 12359.

2²⁸⁴⁰⁰⁴ 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 284004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436800).

284004 is an abundant number, since it is smaller than the sum of its proper divisors (589596).

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

284004 is a wasteful number, since it uses less digits than its factorization.

284004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 284004 is about 532.9202566989. The cubic root of 284004 is about 65.7316931110.

Adding to 284004 its reverse (400482), we get a palindrome (684486).

The spelling of 284004 in words is "two hundred eighty-four thousand, four".