To determine the number of prime numbers between 476 and 485, both included, we need to identify which numbers within this range are prime numbers.

1. 476: This number is even and is therefore divisible by 2. Hence, it is not a prime number.
2. 477: The sum of the digits is 4 + 7 + 7 = 18, which is divisible by 3. Thus, 477 is not a prime number.
3. 478: This number is even and divisible by 2. Hence, it is not a prime number.
4. 479: To check minimal divisibility, we need to test divisions by prime numbers up to the square root of 479 (approximately 21.89).
   • It is not divisible by 2 (as it is odd).
   • It is not divisible by 3, as the sum of its digits (4 + 7 + 9 = 20) is not divisible by 3.
   • It is not divisible by 5 (the last digit is not 0 or 5).
   • Testing divisibility by 7 yields no integer quotient.
   • Testing further numbers like 11, 13, etc., also confirms 479 is not divisible by them.
   Thus, 479 is a prime number.
5. 480: This number is even and divisible by 2. Hence, it is not a prime number.
6. 481: The sum of the digits is 4 + 8 + 1 = 13, which is not divisible by 3, but since it ends in '1', it cannot be divisible by 5, 7, or several prime numbers checked manually, confirming it's not a prime number (as 481 = 13 \times 37).
7. 482: This number is even and divisible by 2. Hence, it is not a prime number.
8. 483: The sum of the digits is 4 + 8 + 3 = 15, which is divisible by 3. Thus, 483 is not a prime number.
9. 484: This number is even and divisible by 2. Hence, it is not a prime number.
10. 485: Ends in '5', so it is divisible by 5. Therefore, it is not a prime number.

After checking each number in the given range, we find that the only prime number is 479.

Hence, the correct answer is: 1.