8395484160 has 352 divisors, whose sum is σ = 31004877312. Its totient is φ = 1899233280.

The previous prime is 8395484143. The next prime is 8395484161. The reversal of 8395484160 is 614845938.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8395484161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12149415 + ... + 12150105.

Almost surely, 2^8395484160 is an apocalyptic number.

8395484160 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 8395484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15502438656).

8395484160 is an abundant number, since it is smaller than the sum of its proper divisors (22609393152).

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

8395484160 is a wasteful number, since it uses less digits than its factorization.

8395484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 8395484160 is about 91626.8746602218. The cubic root of 8395484160 is about 2032.4283718776.

The spelling of 8395484160 in words is "eight billion, three hundred ninety-five million, four hundred eighty-four thousand, one hundred sixty".