249774168 has 96 divisors (see below), whose sum is σ = 742003200. Its totient is φ = 69830208.

The previous prime is 249774167. The next prime is 249774211. The reversal of 249774168 is 861477942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249774167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53013 + ... + 57531.

It is an arithmetic number, because the mean of its divisors is an integer number (7729200).

Almost surely, 2^249774168 is an apocalyptic number.

249774168 is a gapful number since it is divisible by the number (28) 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 249774168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371001600).

249774168 is an abundant number, since it is smaller than the sum of its proper divisors (492229032).

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

249774168 is a wasteful number, since it uses less digits than its factorization.

249774168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4578 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 249774168 is about 15804.2452524630. The cubic root of 249774168 is about 629.7707808085.

It can be divided in two parts, 249774 and 168, that added together give a palindrome (249942).

The spelling of 249774168 in words is "two hundred forty-nine million, seven hundred seventy-four thousand, one hundred sixty-eight".