Ghandi was killed days before planning to depart for the Punjab in a bid to bring some peace to the region. At the same time he had just gone through two hunger strikes closely after one another and his health was in general decline. Most likely he dies in the Punjab, either from getting on the wrong side of either the Muslims, Sikhs or Hindus clashing in the region or as a result of the general deterioration of his health. Now the impact of Ghandi dying to someone other than a Hindu nationalist could have a lot of interesting consequences re: Hindu nationalism which was on the rise right up until Ghandi's murder made them anathema. I actually spent a while trying to game out the consequences of it, and things could have gone a lot worse than IOTL.
However, if he does make it through the Partition Crisis he will obviously have a large impact on how India develops early on. However, this again means that the Hindu Nationalists are on a better footing than IOTL. Further, without Ghandi's death to bring Nehru and Vallabhbhai together again, the Indian National Congress is going to be far more split internally. I don't think Ghandi could have brought them together to the same extent that his death did. This would have a number of interesting implications, particularly with regards to whether Nehru would have the same degree of power both within the party and over the nation as a whole. That in turn has a ton of implications for what role India takes post-independence on everything from Kashmir and Pakistan to American and Soviet relations.