284197120 has 36 divisors (see below), whose sum is σ = 680743980. Its totient is φ = 113678336.

The previous prime is 284197091. The next prime is 284197127. The reversal of 284197120 is 21791482.

284197120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 236421376 = 6912^2 + 15376^2 .

It is not an unprimeable number, because it can be changed into a prime (284197127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109735 + ... + 112294.

It is an arithmetic number, because the mean of its divisors is an integer number (18909555).

Almost surely, 2^284197120 is an apocalyptic number.

284197120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284197120 is an abundant number, since it is smaller than the sum of its proper divisors (396546860).

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

284197120 is an equidigital number, since it uses as much as digits as its factorization.

284197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222050 (or 222036 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 284197120 is about 16858.1469918850. The cubic root of 284197120 is about 657.4658870917.

The spelling of 284197120 in words is "two hundred eighty-four million, one hundred ninety-seven thousand, one hundred twenty".