249792 has 28 divisors (see below), whose sum is σ = 661416. Its totient is φ = 83200.

The previous prime is 249779. The next prime is 249797. The reversal of 249792 is 297942.

249792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249797) by changing a digit.

249792 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 3 ways as a sum of consecutive naturals, for example, 459 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (23622).

2²⁴⁹⁷⁹² is an apocalyptic number.

It is an amenable number.

249792 is an abundant number, since it is smaller than the sum of its proper divisors (411624).

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

249792 is a wasteful number, since it uses less digits than its factorization.

249792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1306 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 249792 is about 499.7919567180. The cubic root of 249792 is about 62.9785767420.

It can be divided in two parts, 2 and 49792, that added together give a palindrome (49794).

The spelling of 249792 in words is "two hundred forty-nine thousand, seven hundred ninety-two".