Allowing you get back in, when everything crashes

If your NAS ever goes unresponsive, loses network access, or won't boot properly, DSM itself won't help you. You can't log into a web interface that isn't there. Out-of-Band (OOB) Management gets around that. It's a lightweight, separate system built into supported Synology units that you reach over SSH through a dedicated Management port, completely independent of DSM. You can restart the NAS, power it on or off, and pull system logs even when the OS is down.

Plug an ethernet cable from the Management port on the back of the NAS into your switch. This is a physically separate connection from your normal LAN ports. (says MGNT on the back of it)

Once it's enabled, you'd expect this to just work:
ssh your-admin@your-nas-ip -p [your port]
On a modern Mac or Linux machine, it won't. You'll get this:
Unable to negotiate with [ip] port [port]: no matching key exchange method found.
Their offer: diffie-hellman-group14-sha1,diffie-hellman-group1-sha1
That's because the OOB console only supports older SSH algorithms that newer SSH clients disable by default for security. The fix is to explicitly allow them for this one connection:
ssh -oKexAlgorithms=+diffie-hellman-group14-sha1 -oHostKeyAlgorithms=+ssh-rsa -oPubkeyAcceptedAlgorithms=+ssh-rsa -oCiphers=+aes128-cbc your-admin@your-nas-ip -p [your port]

That connects you straight into the console.
Once you're in, you land on a simple menu:

It's basic, but it's exactly what you need when everything else is unreachable.