White Moonstone is going to have the properties of all Moonstone, but White Moonstone in particular has a strong affinity for the crown chakra. This makes White Moonstone a great variety of Moonstone to work with in dealing with working with your intuition, including Dream Work.
In ancient folklore moonstone was used by travelers for protection on their journeys. Wear this piece on an adventure, short or long! Moonstone as you can tell from the name is linked to the moon; many people prefer to clean their crystals in the light of the full moon, and Moonstone just soaks up those moon beams.
Another folklore use for moonstone concerns fertility as well as abundance. Moonstone is a great stone for anyone seeking to tap into more Yin energy in their life. This makes a great piece for women, and is often gifted to expectant or soon to be expectant mothers.
Since Moonstone is ruled by the Moon, it is associated with the astrological sign of Cancer. Cancer is a nurturing sign, much like this lovely stone as well!