284220090 has 384 divisors, whose sum is σ = 1006387200. Its totient is φ = 57153600.

The previous prime is 284220023. The next prime is 284220091. The reversal of 284220090 is 90022482.

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 (284220091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9168375 + ... + 9168405.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^284220090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284220090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503193600).

284220090 is an abundant number, since it is smaller than the sum of its proper divisors (722167110).

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

284220090 is a wasteful number, since it uses less digits than its factorization.

284220090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 284220090 is about 16858.8282510974. The cubic root of 284220090 is about 657.4835996622.

The spelling of 284220090 in words is "two hundred eighty-four million, two hundred twenty thousand, ninety".