Nagios, originally created under the name NetSaint, was written and is currently maintained by Ethan Galstad, along with a group of developers actively maintaining both official and unofficial plugins.
Nagios was originally designed to run under Linux, but also runs well on other Unix variants.
Monitoring of anything else like probes (temperature, alarms...) which have the ability to send collected data via a network to specifically written plugins
Remote monitoring supported through SSH or SSLencrypted tunnels.
Simple plugin design that allows users to easily develop their own service checks depending on needs, by using the tools of choice (Bash, C++, Perl, Ruby, Python, PHP, C#, etc.)
Parallelized service checks available
Ability to define network host hierarchy using "parent" hosts, allowing detection of and distinction between hosts that are down and those that are unreachable
Contact notifications when service or host problems occur and get resolved (via e-mail, pager, SMS, or any user-defined method through plugin system)
Ability to define event handlers to be run during service or host events for proactive problem resolution
Support for implementing redundant monitoring hosts
Optional web-interface for viewing current network status, notifications, problem history, log files, etc.
Nagios meaning
According to Ethan Galstad's official FAQ on the Nagios site, N.A.G.I.O.S. is a recursive acronym: "Nagios Ain't Gonna Insist On Sainthood". This is a reference to the original incarnation of the software under the name Netsaint. The word Nagios is a portmanteau of two words, network and hagios (also spelled agios, which means saint in ancient and modern Greek).
Addons and tools
Nagios can be extended with addons and tools. Examples of this include:
Centreon: PHP/MySQL frontend for Nagios, add some functionnalities and simplify configuration
NagVis: Addon for the visualization of the monitoring results