249384 has 16 divisors (see below), whose sum is σ = 623520. Its totient is φ = 83120.

The previous prime is 249383. The next prime is 249397. The reversal of 249384 is 483942.

It is a happy number.

249384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2⁷ + 4 + 3¹¹ + 9⁴ + 8 + 4⁸ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249384.

It is not an unprimeable number, because it can be changed into a prime (249383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5172 + ... + 5219.

It is an arithmetic number, because the mean of its divisors is an integer number (38970).

2²⁴⁹³⁸⁴ is an apocalyptic number.

249384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249384 is an abundant number, since it is smaller than the sum of its proper divisors (374136).

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

249384 is a wasteful number, since it uses less digits than its factorization.

249384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10400 (or 10396 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 249384 is about 499.3836200758. The cubic root of 249384 is about 62.9442691823.

It can be divided in two parts, 24938 and 4, that added together give a palindrome (24942).

The spelling of 249384 in words is "two hundred forty-nine thousand, three hundred eighty-four".