8413281408 has 256 divisors, whose sum is σ = 27144403200. Its totient is φ = 2257403904.

The previous prime is 8413281361. The next prime is 8413281421. The reversal of 8413281408 is 8041823148.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 2882766 + ... + 2885682.

It is an arithmetic number, because the mean of its divisors is an integer number (106032825).

Almost surely, 2^8413281408 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 8413281408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13572201600).

8413281408 is an abundant number, since it is smaller than the sum of its proper divisors (18731121792).

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

8413281408 is a wasteful number, since it uses less digits than its factorization.

8413281408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 8413281408 is about 91723.9413021486. The cubic root of 8413281408 is about 2033.8635125458.

The spelling of 8413281408 in words is "eight billion, four hundred thirteen million, two hundred eighty-one thousand, four hundred eight".