284221440 has 224 divisors, whose sum is σ = 1014435360. Its totient is φ = 75497472.

The previous prime is 284221439. The next prime is 284221447. The reversal of 284221440 is 44122482.

284221440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284221447) 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, 1105792 + ... + 1106048.

Almost surely, 2^284221440 is an apocalyptic number.

284221440 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 284221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507217680).

284221440 is an abundant number, since it is smaller than the sum of its proper divisors (730213920).

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

284221440 is an equidigital number, since it uses as much as digits as its factorization.

284221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 284221440 is about 16858.8682894197. The cubic root of 284221440 is about 657.4846406413.

The spelling of 284221440 in words is "two hundred eighty-four million, two hundred twenty-one thousand, four hundred forty".