8480

8480 is the natural number that follows 8479 and precedes 8481. It is an even composite number with a prime factorization of 2^5 × 5 × 53, which means it has 24 divisors in total.

The sum of all divisors of 8480 is 20412, so the sum of its proper divisors is 11932. Because 11932 is greater than 8480, the number is classified as abundant. It is also a Harshad (Niven) number in base 10, since the sum of its digits is 8 + 4 + 8 + 0 = 20 and 8480 is divisible by 20, yielding a quotient of 424.

In common numeral systems, 8480 can be represented as 10000100100000 in binary and as 0x2120 in hexadecimal. These representations reflect its binary structure, where the 1s occur at specific powers of two corresponding to its prime factorization.

There are no widely noted special properties tying 8480 to a famous constant or theorem, but it serves as an example of an even, composite, and abundant number with a straightforward factorization. As a four-digit integer, it is used in general arithmetic context, number theory demonstrations, and encoding practice where explicit factorization and base representations are relevant.