249774 has 32 divisors (see below), whose sum is σ = 602880. Its totient is φ = 67392.

The previous prime is 249763. The next prime is 249779. The reversal of 249774 is 477942.

249774 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 249774.

It is not an unprimeable number, because it can be changed into a prime (249779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642 + ... + 954.

It is an arithmetic number, because the mean of its divisors is an integer number (18840).

2²⁴⁹⁷⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301440).

249774 is an abundant number, since it is smaller than the sum of its proper divisors (353106).

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

249774 is a wasteful number, since it uses less digits than its factorization.

249774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344.

The product of its digits is 14112, while the sum is 33.

The square root of 249774 is about 499.7739489009. The cubic root of 249774 is about 62.9770639612.

The spelling of 249774 in words is "two hundred forty-nine thousand, seven hundred seventy-four".