It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a nude number because it is divisible by every one of its digits.
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 249984.
249984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
2249984 is an apocalyptic number.
249984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
249984 is a wasteful number, since it uses less digits than its factorization.
249984 is an evil number, because the sum of its binary digits is even.
The square root of 249984 is about 499.9839997440. The cubic root of 249984 is about 62.9947085503.
The spelling of 249984 in words is "two hundred forty-nine thousand, nine hundred eighty-four".