844479216 has 160 divisors (see below), whose sum is σ = 2933383680. Its totient is φ = 227073024.

The previous prime is 844479197. The next prime is 844479239. The reversal of 844479216 is 612974448.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43195 + ... + 59621.

It is an arithmetic number, because the mean of its divisors is an integer number (18333648).

Almost surely, 2^844479216 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 844479216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466691840).

844479216 is an abundant number, since it is smaller than the sum of its proper divisors (2088904464).

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

844479216 is a wasteful number, since it uses less digits than its factorization.

844479216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16468 (or 16456 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 844479216 is about 29059.9245697576. The cubic root of 844479216 is about 945.2129326169.

The spelling of 844479216 in words is "eight hundred forty-four million, four hundred seventy-nine thousand, two hundred sixteen".