8395894400 has 96 divisors (see below), whose sum is σ = 21455909100. Its totient is φ = 3242516480.

The previous prime is 8395894387. The next prime is 8395894453. The reversal of 8395894400 is 44985938.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4491144256 + 3904750144 = 67016^2 + 62488^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47564 + ... + 138036.

Almost surely, 2^8395894400 is an apocalyptic number.

8395894400 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 8395894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10727954550).

8395894400 is an abundant number, since it is smaller than the sum of its proper divisors (13060014700).

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

8395894400 is a wasteful number, since it uses less digits than its factorization.

8395894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90526 (or 90509 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The square root of 8395894400 is about 91629.1132773858. The cubic root of 8395894400 is about 2032.4614757788.

The spelling of 8395894400 in words is "eight billion, three hundred ninety-five million, eight hundred ninety-four thousand, four hundred".