284289880 has 64 divisors (see below), whose sum is σ = 744863040. Its totient is φ = 95626752.

The previous prime is 284289869. The next prime is 284289883. The reversal of 284289880 is 88982482.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284289883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5262 + ... + 24418.

It is an arithmetic number, because the mean of its divisors is an integer number (11638485).

Almost surely, 2^284289880 is an apocalyptic number.

284289880 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 284289880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372431520).

284289880 is an abundant number, since it is smaller than the sum of its proper divisors (460573160).

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

284289880 is a wasteful number, since it uses less digits than its factorization.

284289880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19228 (or 19224 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The square root of 284289880 is about 16860.8979594801. The cubic root of 284289880 is about 657.5374101033.

The spelling of 284289880 in words is "two hundred eighty-four million, two hundred eighty-nine thousand, eight hundred eighty".