249744 has 60 divisors (see below), whose sum is σ = 725648. Its totient is φ = 73920.

The previous prime is 249737. The next prime is 249749. The reversal of 249744 is 447942.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249744.

It is not an unprimeable number, because it can be changed into a prime (249749) by changing a digit.

249744 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, 5787 + ... + 5829.

2²⁴⁹⁷⁴⁴ is an apocalyptic number.

249744 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 249744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362824).

249744 is an abundant number, since it is smaller than the sum of its proper divisors (475904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249744 is a wasteful number, since it uses less digits than its factorization.

249744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 249744 is about 499.7439344304. The cubic root of 249744 is about 62.9745424984.

The spelling of 249744 in words is "two hundred forty-nine thousand, seven hundred forty-four".