8284942400 has 168 divisors, whose sum is σ = 24525305280. Its totient is φ = 2690979840.

The previous prime is 8284942399. The next prime is 8284942411. The reversal of 8284942400 is 42494828.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193334 + ... + 232266.

It is an arithmetic number, because the mean of its divisors is an integer number (145983960).

Almost surely, 2^8284942400 is an apocalyptic number.

8284942400 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 8284942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12262652640).

8284942400 is an abundant number, since it is smaller than the sum of its proper divisors (16240362880).

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

8284942400 is a wasteful number, since it uses less digits than its factorization.

8284942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38981 (or 38966 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 8284942400 is about 91021.6589609308. The cubic root of 8284942400 is about 2023.4687321278.

The spelling of 8284942400 in words is "eight billion, two hundred eighty-four million, nine hundred forty-two thousand, four hundred".