284242200 has 96 divisors (see below), whose sum is σ = 961277760. Its totient is φ = 68905600.

The previous prime is 284242187. The next prime is 284242201. The reversal of 284242200 is 2242482.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284242201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14934 + ... + 28133.

It is an arithmetic number, because the mean of its divisors is an integer number (10013310).

Almost surely, 2^284242200 is an apocalyptic number.

284242200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284242200 is an abundant number, since it is smaller than the sum of its proper divisors (677035560).

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

284242200 is a wasteful number, since it uses less digits than its factorization.

284242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43097 (or 43088 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 284242200 is about 16859.4839778684. The cubic root of 284242200 is about 657.5006481703.

Adding to 284242200 its reverse (2242482), we get a palindrome (286484682).

The spelling of 284242200 in words is "two hundred eighty-four million, two hundred forty-two thousand, two hundred".