420 per minute doesn't sound like a lot.
I *think* that normally, on a shared host, you have your own mail server, similar to mail.mydomain.com, so moving to a dedicated server would not help.
Anyone know for sure?
And bear in mind, the spammers will move on very soon. I once had thousands of emails arriving in a similar fashion, back in the late 90s. I wrote something to delete them from the server, and it lasted for about 12 hours, then stopped.
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