It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49584.
It is an unprimeable number.
49584 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
49584 is a Friedman number, since it can be written as 48*(9+4^5), using all its digits and the basic arithmetic operations.
249584 is an apocalyptic number.
It is an amenable number.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49584 is a wasteful number, since it uses less digits than its factorization.
49584 is an evil number, because the sum of its binary digits is even.
The square root of 49584 is about 222.6746505555. The cubic root of 49584 is about 36.7378598430.
Subtracting from 49584 its reverse (48594), we obtain a triangular number (990 = T44).
The spelling of 49584 in words is "forty-nine thousand, five hundred eighty-four".