284243400 has 288 divisors, whose sum is σ = 1155997440. Its totient is φ = 61102080.

The previous prime is 284243387. The next prime is 284243411. The reversal of 284243400 is 4342482.

It is a happy number.

284243400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 213537 + ... + 214863.

It is an arithmetic number, because the mean of its divisors is an integer number (4013880).

Almost surely, 2^284243400 is an apocalyptic number.

284243400 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 284243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577998720).

284243400 is an abundant number, since it is smaller than the sum of its proper divisors (871754040).

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

284243400 is a wasteful number, since it uses less digits than its factorization.

284243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 284243400 is about 16859.5195661086. The cubic root of 284243400 is about 657.5015734371.

Adding to 284243400 its reverse (4342482), we get a palindrome (288585882).

The spelling of 284243400 in words is "two hundred eighty-four million, two hundred forty-three thousand, four hundred".