249960096 has 72 divisors (see below), whose sum is σ = 712775700. Its totient is φ = 83091456.

The previous prime is 249960083. The next prime is 249960097. The reversal of 249960096 is 690069942.

It can be written as a sum of positive squares in 2 ways, for example, as 244484496 + 5475600 = 15636^2 + 2340^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (249960097) 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 11 ways as a sum of consecutive naturals, for example, 128346 + ... + 130278.

Almost surely, 2^249960096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249960096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356387850).

249960096 is an abundant number, since it is smaller than the sum of its proper divisors (462815604).

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

249960096 is a wasteful number, since it uses less digits than its factorization.

249960096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 249960096 is about 15810.1263752065. The cubic root of 249960096 is about 629.9270059043.

The spelling of 249960096 in words is "two hundred forty-nine million, nine hundred sixty thousand, ninety-six".