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 totally depends on your node's liquidity. Often people use 3rd party services and thus aren't able to know what liquidity the node of their provider has. For my node, I could receive a maximum of ~1.9 million sats in a single payment, but 1 million would be much more reasonable.

With current fees on-chain being low, I would probably send anything 500k sats or more on-chain if I had the option.