Plesk error: mail server requires authentication to send to a non-local e-mail address

Funny how most of the odd problems that I run into have to do with Plesk. This error randomly started happening one day when trying to send email to any user on a Plesk windows server:

503 This mail server requires authentication when attempting to send to a non-local e-mail address. Please check your mail client settings or contact your administrator to verify that the domain or address is defined for this server.