Overall, both headphones are feature-rich and cater to users looking for a combination of sound quality, comfort, and wireless convenience. The frequency response differs (20 - 20,000 Hz vs 20 Hz - 20000 Hz), which can influence how well the headphones reproduce lows, mids, and highs. Philips SHB4000 and boAt Airdopes 413 ANC are well-known options in the wireless headphone segment, offering a balance of audio quality, battery performance, and smart features. Battery life varies between the two (Music Playtime: 9 hr, Talk Time: 9 hr, Standby Time: 200 hr vs 5 / 17.5 Hours), which affects how long you can use them on a single charge. Philips SHB4000 and boAt Airdopes 413 ANC offer different noise cancellation capabilities (No vs Active Noise Cancellation), which can impact how effectively they block external noise. Philips SHB4000 uses Bluetooth 3.0 while boAt Airdopes 413 ANC supports Bluetooth 5.2, which can impact connectivity stability and efficiency. The driver size differs between the two (32 mm vs 10 mm), which can influence sound depth, bass response, and overall audio clarity. Impedance levels vary (24 ohms vs NA), which can affect compatibility and audio output when used with different devices. There is a noticeable difference in weight (71 g vs 48 Gm), which may affect comfort during extended use.

Verdict: Both models are competitive, and your decision should be based on your usage needs and preferred features.