What's a good book about the fall of the Roman Empire?

476 AD – ever since world history class in my freshman year of high school, I remembered that date as the fall of the Roman Empire. My teacher told me to remember it so I did all these years. Although I had my share of continuing classical studies in college, I never really delved into Rome’s last days. I always wanted to read up more about it.

So what’s a good, detailed history book about the Fall of the Roman Empire?