1000084448 has 48 divisors (see below), whose sum is σ = 2157004080. Its totient is φ = 452659200.

The previous prime is 1000084441. The next prime is 1000084457. The reversal of 1000084448 is 8444800001.

1000084448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1000084448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000084441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78938 + ... + 90726.

It is an arithmetic number, because the mean of its divisors is an integer number (44937585).

Almost surely, 2^1000084448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000084448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078502040).

1000084448 is an abundant number, since it is smaller than the sum of its proper divisors (1156919632).

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

1000084448 is a wasteful number, since it uses less digits than its factorization.

1000084448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12051 (or 12043 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 1000084448 is about 31624.1118136146. Note that the first 3 decimals coincide. The cubic root of 1000084448 is about 1000.0281485410.

Adding to 1000084448 its reverse (8444800001), we get a palindrome (9444884449).

The spelling of 1000084448 in words is "one billion, eighty-four thousand, four hundred forty-eight".