
Samsung GALAXY Tab4
The latest firmware for Samsung GALAXY Tab4 (SM-T532) is T532JVS1BQB1 with Android 5.0.2 (KitKat), released on February 5, 2017 for 1 region (CSC). Every official firmware build for SM-T532, newest first: one row per build with all regions (CSC) that received it.
Each firmware build has its own page at https://samfirm.shop/build/{PDA}, where {PDA} is the build number from the list above. Example: https://samfirm.shop/build/T532JVS1BQB1
SM-T532 started on Android 4 and has received 1 major Android upgrade; it now runs Android 5.0.2 (KitKat). The newest build, T532JVS1BQB1, was released on February 5, 2017. No new build has appeared for 118 months, so regular updates for this model have most likely ended.
Specifications of SM-T532N, a regional variant of the same device. Chipset and SIM lines are left out: they can differ by region.
Box codes of SM-T532 for different colors and markets. Firmware is chosen by the model code SM-T532 and your region (CSC), not by the SKU.

SM-T537A

SM-T530X

SM-T535

SM-T638B

SM-T630
The newest firmware for SM-T532 runs Android 5.0.2 (KitKat): build T532JVS1BQB1, released on February 5, 2017.
The latest build for SM-T532, T532JVS1BQB1, was released on February 5, 2017 (9 years ago).
SM-T532 has had no new firmware for 118 months, so regular updates have most likely ended.
Yes, all firmware files for SM-T532 are 100% official, original, and obtained directly from Samsung servers.
To flash SM-T532, you need to download the appropriate firmware, put your device into Download Mode, and use the Odin tool to load the BL, AP, CP, and CSC files.
Downgrading is only possible if the bootloader version (binary bit) of the old firmware matches the current one. Always check the binary version before flashing SM-T532.