846448640 has 96 divisors (see below), whose sum is σ = 2049727680. Its totient is φ = 335462400.

The previous prime is 846448639. The next prime is 846448643. The reversal of 846448640 is 46844648.

It is a junction number, because it is equal to n+sod(n) for n = 846448591 and 846448600.

It is not an unprimeable number, because it can be changed into a prime (846448643) 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 7 ways as a sum of consecutive naturals, for example, 1341125 + ... + 1341755.

It is an arithmetic number, because the mean of its divisors is an integer number (21351330).

Almost surely, 2^846448640 is an apocalyptic number.

846448640 is a gapful number since it is divisible by the number (80) 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 846448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024863840).

846448640 is an abundant number, since it is smaller than the sum of its proper divisors (1203279040).

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

846448640 is a wasteful number, since it uses less digits than its factorization.

846448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The square root of 846448640 is about 29093.7904027646. The cubic root of 846448640 is about 945.9471444141.

The spelling of 846448640 in words is "eight hundred forty-six million, four hundred forty-eight thousand, six hundred forty".