284130400 has 144 divisors (see below), whose sum is σ = 739171440. Its totient is φ = 106444800.

The previous prime is 284130397. The next prime is 284130419. The reversal of 284130400 is 4031482.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 858235 + ... + 858565.

It is an arithmetic number, because the mean of its divisors is an integer number (5133135).

Almost surely, 2^284130400 is an apocalyptic number.

284130400 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 284130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369585720).

284130400 is an abundant number, since it is smaller than the sum of its proper divisors (455041040).

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

284130400 is a wasteful number, since it uses less digits than its factorization.

284130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 284130400 is about 16856.1680105533. The cubic root of 284130400 is about 657.4144327148.

Adding to 284130400 its reverse (4031482), we get a palindrome (288161882).

The spelling of 284130400 in words is "two hundred eighty-four million, one hundred thirty thousand, four hundred".