iPhone input Voltage and Amperage

I have an iPhone 4s. And I recently bought an ASUS ZenPower 10050mah Power Bank. The output voltage of the power bank is 5v/2.4 A. Some of my friends suggested that it could harm my iPhone since iPhone battery capacity is lower as 1430mah, and it supports only 5v/1A. is it true? is the same applicable for iphhone 5s also?