844478712 has 192 divisors, whose sum is σ = 3001939200. Its totient is φ = 207774720.

The previous prime is 844478711. The next prime is 844478729. The reversal of 844478712 is 217874448.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844478711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101328 + ... + 109344.

It is an arithmetic number, because the mean of its divisors is an integer number (15635100).

Almost surely, 2^844478712 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 844478712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500969600).

844478712 is an abundant number, since it is smaller than the sum of its proper divisors (2157460488).

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

844478712 is a wasteful number, since it uses less digits than its factorization.

844478712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8066 (or 8059 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 844478712 is about 29059.9158980201. The cubic root of 844478712 is about 945.2127445770.

The spelling of 844478712 in words is "eight hundred forty-four million, four hundred seventy-eight thousand, seven hundred twelve".