What is the current minimal active stake for minting 1 block/month?

To mint one block per epoch you’ll need …

TotalStake /  BlocksPerEpoch => ActiveStakePerBlock
22.85b / 21600 => 1,058m

An epoch has 5 days, so you’ll need 1/6 of that. i.e. 176k. Whether it is profitable to run a stake pool is explored here in greater detail.

Cost per block is a factor, not only for the SPO but for the delegator too. In case you’re not decided and also consider delegating, it may be a good idea to look for a pool with solid tech skills and low effective cost.