At the Bris Bain HaBesarim, according to the pesukim, Hashem only said Avraham’s descendents would be strangers for 400 years (in golus, essentially), but not specfically where that would occur. It’s a strange occurrence that some think that means all 400 must be in Mitzrayim. Being a stranger implies one is not in authority or control; this was the condition of all the Avos, the Shvatim, etc., so the 400 figure can easily be understood to begin with Yitzchok’s birth, which was 400 years before the Yetzia. This is Rashi’s (based on Seder Olam) cheshbon and is the one that is simplest and most clear.
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