8392444416 has 240 divisors, whose sum is σ = 25016482920. Its totient is φ = 2707292160.

The previous prime is 8392444399. The next prime is 8392444433. The reversal of 8392444416 is 6144442938.

8392444416 is a `hidden beast` number, since 83 + 92 + 44 + 441 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (8392444399) and next prime (8392444433).

It can be written as a sum of positive squares in 4 ways, for example, as 7015737600 + 1376706816 = 83760^2 + 37104^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20519220 + ... + 20519628.

Almost surely, 2^8392444416 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 8392444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12508241460).

8392444416 is an abundant number, since it is smaller than the sum of its proper divisors (16624038504).

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

8392444416 is a wasteful number, since it uses less digits than its factorization.

8392444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 548 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 8392444416 is about 91610.2855360685. The cubic root of 8392444416 is about 2032.1830492093.

The spelling of 8392444416 in words is "eight billion, three hundred ninety-two million, four hundred forty-four thousand, four hundred sixteen".