284229400 has 288 divisors, whose sum is σ = 872756640. Its totient is φ = 85155840.

The previous prime is 284229397. The next prime is 284229403. The reversal of 284229400 is 4922482.

It is an interprime number because it is at equal distance from previous prime (284229397) and next prime (284229403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284229403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2930152 + ... + 2930248.

It is an arithmetic number, because the mean of its divisors is an integer number (3030405).

Almost surely, 2^284229400 is an apocalyptic number.

284229400 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 284229400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436378320).

284229400 is an abundant number, since it is smaller than the sum of its proper divisors (588527240).

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

284229400 is a wasteful number, since it uses less digits than its factorization.

284229400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 284229400 is about 16859.1043652977. The cubic root of 284229400 is about 657.4907784950.

The spelling of 284229400 in words is "two hundred eighty-four million, two hundred twenty-nine thousand, four hundred".