284820 has 48 divisors (see below), whose sum is σ = 822528. Its totient is φ = 73600.

The previous prime is 284819. The next prime is 284831. The reversal of 284820 is 28482.

284820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×284820² = 162244864800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 2770 + ... + 2870.

It is an arithmetic number, because the mean of its divisors is an integer number (17136).

2²⁸⁴⁸²⁰ is an apocalyptic number.

284820 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 284820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264).

284820 is an abundant number, since it is smaller than the sum of its proper divisors (537708).

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

284820 is a wasteful number, since it uses less digits than its factorization.

284820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

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

The square root of 284820 is about 533.6853005283. The cubic root of 284820 is about 65.7945863255.

The spelling of 284820 in words is "two hundred eighty-four thousand, eight hundred twenty".