Microsoft does indeed own this email address and it can be found on this page under Commercial for "Approval Emails": https://support.microsoft.com/en-us/topic/power...
Like I said, this does not mean that the email you received is genuine as it can easily be spoofed in an email you receive to make it appear it has come from a legitimate source.
All i can say is, make sure you have your account locked down with Two-Step authentication. You can learn about this here: https://support.microsoft.com/en-us/account-bil...
This makes it virtually impossible for anyone to get into your account from another untrusted device.
Yes, sometimes you will need to enter a verification code (not very often on a trusted device), which can feel a little annoying, but it's nowhere near the major headache you'll have if someone steals your account.
I hope this info proves useful for you.
Kindest regards,
Neil