284930880 has 336 divisors, whose sum is σ = 1048024320. Its totient is φ = 65175552.

The previous prime is 284930879. The next prime is 284930903. The reversal of 284930880 is 88039482.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3606681 + ... + 3606759.

It is an arithmetic number, because the mean of its divisors is an integer number (3119120).

Almost surely, 2^284930880 is an apocalyptic number.

284930880 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 284930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524012160).

284930880 is an abundant number, since it is smaller than the sum of its proper divisors (763093440).

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

284930880 is a wasteful number, since it uses less digits than its factorization.

284930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 284930880 is about 16879.8957342751. The cubic root of 284930880 is about 658.0312312914.

The spelling of 284930880 in words is "two hundred eighty-four million, nine hundred thirty thousand, eight hundred eighty".