Not sure about this one... according to this study the escape velocity of the Milky Way is around 550 km/s.

https://ui.adsabs.harvard.edu/abs/2021A%26A...649A.136K/abst...

The authors of that study cited above are pretty confident it's above 497 +/- 8 km/s, at least in the solar neighborhood.

1M Miles per hour works out to 446 km/s. Granted these are all rough numbers, and it depends exactly where you are in the Milky Way, but it looks like it may be a bit short of actually escaping.