On the personal level, you can learn a new language and meet people who have a different mindset and different experience from the students you might meet in your own country or city.
An international environment allows you to learn so much about different cultures and it makes things so interesting and enriching.
From a professional point of view, diversity is really important. Especially if you work with an international company, you might have to work with people from different countries. You need to be careful how you interact with them as different cultures means different sensitivity on a number of subjects. You might also need to get more familiarized with different accents as well.
Having studied abroad myself, I definitely recommend this experience.