249774720 has 128 divisors (see below), whose sum is σ = 857485440. Its totient is φ = 61476864.

The previous prime is 249774713. The next prime is 249774731. The reversal of 249774720 is 27477942.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19957 + ... + 29963.

It is an arithmetic number, because the mean of its divisors is an integer number (6699105).

Almost surely, 2^249774720 is an apocalyptic number.

249774720 is a gapful number since it is divisible by the number (20) 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 249774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428742720).

249774720 is an abundant number, since it is smaller than the sum of its proper divisors (607710720).

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

249774720 is a wasteful number, since it uses less digits than its factorization.

249774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 10030 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 249774720 is about 15804.2627161155. The cubic root of 249774720 is about 629.7712447386.

The spelling of 249774720 in words is "two hundred forty-nine million, seven hundred seventy-four thousand, seven hundred twenty".