If you search for a direct download link, you will find forums from 2016 with broken RapidShare links or "VitaUpdateBlocker" mirrors that now host ransomware.
(all uppercase). If you downloaded a specific version (like 3.60), it might have a different name initially—rename it before proceeding. Enter Safe Mode: Turn off your device completely. Hold the Power button for about 7 seconds (for PS TV) or the R button + PS Button + Power button (for Vita) to enter Safe Mode. Update System Software and choose the source (USB for PS TV or PC for Vita). Important Safety Tip: psp2updatpup download link
Depending on whether you want the latest official firmware or a specific version for custom firmware (CFW) purposes, use the following sources: PS Vita System Software (US) If you search for a direct download link,
If you've obtained PSP2UPDAT.PUP from a trusted source, follow these steps to update your PSP: Enter Safe Mode: Turn off your device completely