Mr. O’Donnell has $500 budgeted to donate to charity. He gave 2/5 of the amount to the Red Cross. Mr. O’Donnell donated 1/3 of the remainder to Special Olympics. How much is left to give to other charities?
Mr. O'Donnell gave 2/5 * $500 = $<<2/5*500=200>>200 to the Red Cross.
The remainder is $500 - $200 = $<<500-200=300>>300.
Mr. O'Donnell gave 1/3 * $300 = $<<1/3*300=100>>100 to Special Olympics.
The amount left to give to other charities is $300 - $100 = $<<300-100=200>>200. Answer: \boxed{200}.