284808900 has 72 divisors (see below), whose sum is σ = 833384160. Its totient is φ = 75088640.

The previous prime is 284808899. The next prime is 284808941. The reversal of 284808900 is 9808482.

It is a happy number.

284808900 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-3 number, since 3×284808900³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21367 + ... + 32033.

It is an arithmetic number, because the mean of its divisors is an integer number (11574780).

Almost surely, 2^284808900 is an apocalyptic number.

284808900 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 284808900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416692080).

284808900 is an abundant number, since it is smaller than the sum of its proper divisors (548575260).

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

284808900 is a wasteful number, since it uses less digits than its factorization.

284808900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10773 (or 10766 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 284808900 is about 16876.2821735120. The cubic root of 284808900 is about 657.9373159923.

The spelling of 284808900 in words is "two hundred eighty-four million, eight hundred eight thousand, nine hundred".