Samsung confirmed earlier this morning that their new Galaxy S4 Mini variant device will hit the streets with the Snapdragon 400 CPU which was previously rumored. Here's a quote from Sammy,

Samsung uses Qualcomm's processor, MSM 8930 Pro for 4G LTE and MSM 8230 Pro for 3G. The only difference between the two chips is that a different network(4G or 3G) supported.
We will keep you updated if any additional details emerge about this smaller brother of the SGS4.

Source: PhoneArena