Not a cactus, Howard, it is a hardy succulent, in fact an alpine, used to cold climates. But it needs PLENTY of SUN to grow properly and will not do well indoors. Needs a well drained place, gritty soil. Ideal for planting in containers with plenty of drainage. There are a lot of different species of this plant, and a lot of hybrids, can plant a whole sink or bowl full of them.
(If you want any more let us know!, we have a lot!)
Pictured below is the 'cobweb' houseleek, also hardy. Flowers are terminal, pink usually. This one is in a bowl with plenty of grit.