Factual error: Towards the end of the film, Spiderman takes his web and uses it to connect to the different power conduits that Electro blew open, ties them together, and power the city back up. Electricity uses several different wires, and crossing them would cause things to blow up or short out. What should have happened when Gwen threw the switch was another power failure, instead of the city's power being restored.
Factual error: A helpful automated voice from Oscorp informs the robbers that "Plutonium-838 is a radioactive material and is highly explosive." No it's not. It is radioactive obviously, but it is not some volatile explosive. (00:09:10)