8448000480 has 144 divisors (see below), whose sum is σ = 28857052224. Its totient is φ = 2250593280.

The previous prime is 8448000401. The next prime is 8448000481. The reversal of 8448000480 is 840008448.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8448000480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8448000481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1908670 + ... + 1913090.

It is an arithmetic number, because the mean of its divisors is an integer number (200396196).

Almost surely, 2^8448000480 is an apocalyptic number.

8448000480 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 8448000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14428526112).

8448000480 is an abundant number, since it is smaller than the sum of its proper divisors (20409051744).

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

8448000480 is a wasteful number, since it uses less digits than its factorization.

8448000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5769 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8448000480 is about 91913.0049557733. The cubic root of 8448000480 is about 2036.6573864369.

The spelling of 8448000480 in words is "eight billion, four hundred forty-eight million, four hundred eighty", and thus it is an aban number.