284704 has 48 divisors (see below), whose sum is σ = 677376. Its totient is φ = 115200.

The previous prime is 284701. The next prime is 284707. The reversal of 284704 is 407482.

284704 = T₂₇ + T₂₈ + ... + T₁₁₉.

It is an interprime number because it is at equal distance from previous prime (284701) and next prime (284707).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6924 + ... + 6964.

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

2²⁸⁴⁷⁰⁴ 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 284704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688).

284704 is an abundant number, since it is smaller than the sum of its proper divisors (392672).

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

284704 is a wasteful number, since it uses less digits than its factorization.

284704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 284704 is about 533.5766111816. The cubic root of 284704 is about 65.7856529543.

The spelling of 284704 in words is "two hundred eighty-four thousand, seven hundred four".