What are my limits on deposits to my savings account

The maximum balance allowed is $250,000

There are several limits on deposits into Apple Savings account.

No single Apple Cash deposit/transfer may be larger than $10,000 and no more than $20,000 within any 7 day rolling limit.

muguy points out the $250,000 limit to deposits, but thev$250,000 excludes interest earned, and Daily Cash deposits earned from you Apple Card Mastercard.