249774080 has 60 divisors (see below), whose sum is σ = 599636100. Its totient is φ = 99876864.

The previous prime is 249774067. The next prime is 249774131. The reversal of 249774080 is 80477942.

It can be written as a sum of positive squares in 2 ways, for example, as 55115776 + 194658304 = 7424^2 + 13952^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80396 + ... + 83444.

It is an arithmetic number, because the mean of its divisors is an integer number (9993935).

Almost surely, 2^249774080 is an apocalyptic number.

249774080 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 249774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299818050).

249774080 is an abundant number, since it is smaller than the sum of its proper divisors (349862020).

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

249774080 is an frugal number, since it uses more digits than its factorization.

249774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 249774080 is about 15804.2424684007. The cubic root of 249774080 is about 629.7707068486.

The spelling of 249774080 in words is "two hundred forty-nine million, seven hundred seventy-four thousand, eighty".