This is a charade - multiple parts are combined in sequence to build the answer word by word or letter by letter.
Look at 'Last to arrive, first to depart' - take the last letter of 'arrive' and combine it with the first letters of 'to depart'. The number gives you another part to work with.
Answer: EGOIST | Take the last letter of 'arrive' (E), add 'GO' (first letters of 'Go' from the phrase), and '1ST' (the number 1 written as 'first'): E + GO + 1ST = EGOIST