284013200 has 60 divisors (see below), whose sum is σ = 712031808. Its totient is φ = 108662400.

The previous prime is 284013139. The next prime is 284013209. The reversal of 284013200 is 2310482.

284013200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (284013209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6236 + ... + 24635.

Almost surely, 2^284013200 is an apocalyptic number.

284013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284013200 is an abundant number, since it is smaller than the sum of its proper divisors (428018608).

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

284013200 is a wasteful number, since it uses less digits than its factorization.

284013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30912 (or 30901 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 284013200 is about 16852.6911797493. The cubic root of 284013200 is about 657.3240287221.

Adding to 284013200 its reverse (2310482), we get a palindrome (286323682).

The spelling of 284013200 in words is "two hundred eighty-four million, thirteen thousand, two hundred".