284448000 has 144 divisors (see below), whose sum is σ = 945112896. Its totient is φ = 75827200.

The previous prime is 284447983. The next prime is 284448023. The reversal of 284448000 is 844482.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94519 + ... + 97481.

It is an arithmetic number, because the mean of its divisors is an integer number (6563284).

Almost surely, 2^284448000 is an apocalyptic number.

284448000 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 284448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472556448).

284448000 is an abundant number, since it is smaller than the sum of its proper divisors (660664896).

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

284448000 is an equidigital number, since it uses as much as digits as its factorization.

284448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 284448000 is about 16865.5862631573. The cubic root of 284448000 is about 657.6592933790.

The spelling of 284448000 in words is "two hundred eighty-four million, four hundred forty-eight thousand".