284220 has 36 divisors (see below), whose sum is σ = 862680. Its totient is φ = 75744.

The previous prime is 284201. The next prime is 284227. The reversal of 284220 is 22482.

284220 = 64² + 65² + ... + 103².

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 284193 and 284202.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284220.

It is not an unprimeable number, because it can be changed into a prime (284227) by changing a digit.

284220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 610 + ... + 969.

2²⁸⁴²²⁰ is an apocalyptic number.

284220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284220 is an abundant number, since it is smaller than the sum of its proper divisors (578460).

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

284220 is a wasteful number, since it uses less digits than its factorization.

284220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1589 counting only the distinct ones).

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

The square root of 284220 is about 533.1228751423. The cubic root of 284220 is about 65.7483530264.

The spelling of 284220 in words is "two hundred eighty-four thousand, two hundred twenty".