If you shot Fujifilm in the past, you might recognize this as NPH 400. The name has changed but the film is basically the same. Fujifilm adds a "4th layer" to help out with color reproduction, even under mixed light conditions.
Overall, it's a very balanced film, which was the strong suit of the NPH that came before it, making it a great choice for shooting portraits. It's sadly no longer available in 160, which gives Kodak's Portra a slight advantage in terms of flexibility, but the Fujifilm Pro 400H is something a little different.