846444816 has 210 divisors, whose sum is σ = 2862232542. Its totient is φ = 241678080.

The previous prime is 846444803. The next prime is 846444817. The reversal of 846444816 is 618444648.

It can be written as a sum of positive squares in only one way, i.e., 700131600 + 146313216 = 26460^2 + 12096^2 .

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

It is not an unprimeable number, because it can be changed into a prime (846444817) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 570796 + ... + 572276.

Almost surely, 2^846444816 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 846444816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431116271).

846444816 is an abundant number, since it is smaller than the sum of its proper divisors (2015787726).

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

846444816 is a wasteful number, since it uses less digits than its factorization.

846444816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1493 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 846444816 is about 29093.7246841995. The cubic root of 846444816 is about 945.9457199106.

The spelling of 846444816 in words is "eight hundred forty-six million, four hundred forty-four thousand, eight hundred sixteen".