844868448 has 192 divisors, whose sum is σ = 2640496320. Its totient is φ = 261881856.

The previous prime is 844868447. The next prime is 844868449.

It is a happy number.

844868448 is a `hidden beast` number, since 84 + 486 + 84 + 4 + 8 = 666.

844868448 is nontrivially palindromic in base 10.

844868448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (844868447) and next prime (844868449).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 844868394 and 844868403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844868441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1424440 + ... + 1425032.

It is an arithmetic number, because the mean of its divisors is an integer number (13752585).

Almost surely, 2^844868448 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 844868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320248160).

844868448 is an abundant number, since it is smaller than the sum of its proper divisors (1795627872).

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

844868448 is a wasteful number, since it uses less digits than its factorization.

844868448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 712 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 54.

The square root of 844868448 is about 29066.6208562330. The cubic root of 844868448 is about 945.3581308263.

The spelling of 844868448 in words is "eight hundred forty-four million, eight hundred sixty-eight thousand, four hundred forty-eight".