You are gravely mistaken.
Neptune is not a hot planet and it never has been. Neptune is so far from the sun that the planet and its atmosphere are absolutely freezing.
The average temperature of Neptune is −218 °C (55.1 K).
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The hot temperature on Neptune is due to its internal heat that is leftover from its formation. Additionally, the extreme pressure in Neptune's atmosphere compresses and traps heat, contributing to its high temperature. The planet also receives a small amount of heat from the sun, despite being far away from it.
Neptune is thirty times farther from the Sun than we are, and is so far away that the Sun just looks like a star, so as you can imagine the upper atmosphere is freezing cold - just -225 degrees Celsius! This is extremely cold. However, inside Neptune it is hot - very hot - and reaches tens of thousands of degrees, hotter than the surface of the Sun! This immense difference between Neptune's bitterly cold upper atmosphere and seething hot core causes huge convection currents to flow through the planet, stirring its air and causing Neptune to have the fastest winds in the solar system.
Mercury is colder than Neptune. Mercury's average temperature is about -290 degrees Fahrenheit (-179 degrees Celsius), while Neptune's average temperature is around -355 degrees Fahrenheit (-215 degrees Celsius).
Temperature relies on distance from the Sun. In order the planets are ... Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto So Mercury is hottest as it is closest to the Sun Mars is closer than Neptune, so is hotter. So Neptune is colder.
Uranus and Neptune have similar temperatures because they are both gas giants located far from the Sun, so they receive little heat from it. The internal heat generated by the planets themselves contributes to their temperature. Additionally, their atmospheres trap the heat, leading to similar temperature profiles.
The sun facing half is heated by the Sun, so it is hot. The half facing away form the Sun is in shadow so this half is cool.