8448057408 has 112 divisors (see below), whose sum is σ = 25578734720. Its totient is φ = 2410573824.

The previous prime is 8448057391. The next prime is 8448057427. The reversal of 8448057408 is 8047508448.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142748 + ... + 1150116.

It is an arithmetic number, because the mean of its divisors is an integer number (228381560).

Almost surely, 2^8448057408 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 8448057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789367360).

8448057408 is an abundant number, since it is smaller than the sum of its proper divisors (17130677312).

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

8448057408 is a wasteful number, since it uses less digits than its factorization.

8448057408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244 (or 8234 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The square root of 8448057408 is about 91913.3146393927. The cubic root of 8448057408 is about 2036.6619611908.

The spelling of 8448057408 in words is "eight billion, four hundred forty-eight million, fifty-seven thousand, four hundred eight".