What it means
A scatterbrain is the lovably disorganised one whose thoughts are all over the place, forgetting keys, losing the thread mid-sentence, starting five things and finishing none. There's no malice in it, just a mind that bounces from one thing to the next like a pinball. Usually said with a sigh and a smile, often about yourself.
Usage examples
"Sorry I'm late, total scatterbrain, I left the house twice without my phone."
"He's a brilliant scatterbrain, full of ideas but never remembers where he put them."
"I'm such a scatterbrain today, made a tea, forgot it existed, then started making another one."
"Don't give me six errands at once, I'm a scatterbrain and two of them will vanish into the fog."
Where it comes from
Formed from scatter plus brain, this one’s been knocking about in English since the early 18th century. The image is dead simple and very sticky: a mind with its thoughts flung all over the room instead of lined up neatly. It’s long been used for absent-minded, forgetful, dreamy, disorganised people.