284445960 has 128 divisors (see below), whose sum is σ = 911088000. Its totient is φ = 70834176.

The previous prime is 284445937. The next prime is 284445961. The reversal of 284445960 is 69544482.

It is not an unprimeable number, because it can be changed into a prime (284445961) 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 31 ways as a sum of consecutive naturals, for example, 165586 + ... + 167294.

It is an arithmetic number, because the mean of its divisors is an integer number (7117875).

Almost surely, 2^284445960 is an apocalyptic number.

284445960 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 284445960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455544000).

284445960 is an abundant number, since it is smaller than the sum of its proper divisors (626642040).

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

284445960 is a wasteful number, since it uses less digits than its factorization.

284445960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 284445960 is about 16865.5257848666. The cubic root of 284445960 is about 657.6577211782.

The spelling of 284445960 in words is "two hundred eighty-four million, four hundred forty-five thousand, nine hundred sixty".