284920 has 32 divisors (see below), whose sum is σ = 680400. Its totient is φ = 107008.

The previous prime is 284917. The next prime is 284927. The reversal of 284920 is 29482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471 + ... + 889.

2²⁸⁴⁹²⁰ is an apocalyptic number.

284920 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 284920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340200).

284920 is an abundant number, since it is smaller than the sum of its proper divisors (395480).

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

284920 is a wasteful number, since it uses less digits than its factorization.

284920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 284920 is about 533.7789804779. The cubic root of 284920 is about 65.8022855610.

The spelling of 284920 in words is "two hundred eighty-four thousand, nine hundred twenty".