249984 has 96 divisors (see below), whose sum is σ = 848640. Its totient is φ = 69120.

The previous prime is 249973. The next prime is 249989. The reversal of 249984 is 489942.

249984 = T₅₇ + T₅₈ + ... + T₁₁₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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.

It is not an unprimeable number, because it can be changed into a prime (249989) by changing a digit.

249984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8049 + ... + 8079.

It is an arithmetic number, because the mean of its divisors is an integer number (8840).

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).

249984 is an abundant number, since it is smaller than the sum of its proper divisors (598656).

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 sum of its prime factors is 58 (or 43 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

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".