Which invaders of the Roman Empire appear to have reached the city of Rome first?

The first ones to reach the city of Rome were Visigoths.

Explanation:

After the great migration of people started by the Huns, many Germanic tribes settled on the soil of Western Roman Empire.

Some of them even reached the city of Rome itself.

The first ones to do that were Visigoths. They did it in 410. After them, Vandals sacked Rome in 455 and finally Ostrogoths conquered it in 476.

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