284834880 has 448 divisors, whose sum is σ = 1139708160. Its totient is φ = 67184640.

The previous prime is 284834867. The next prime is 284834903. The reversal of 284834880 is 88438482.

It is a happy number.

It is a super-2 number, since 2×284834880² = 162261817729228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7698222 + ... + 7698258.

Almost surely, 2^284834880 is an apocalyptic number.

284834880 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 284834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569854080).

284834880 is an abundant number, since it is smaller than the sum of its proper divisors (854873280).

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

284834880 is an equidigital number, since it uses as much as digits as its factorization.

284834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 284834880 is about 16877.0518752536. The cubic root of 284834880 is about 657.9573208584.

The spelling of 284834880 in words is "two hundred eighty-four million, eight hundred thirty-four thousand, eight hundred eighty".