249861248 has 128 divisors (see below), whose sum is σ = 645456000. Its totient is φ = 93560832.

The previous prime is 249861247. The next prime is 249861253. The reversal of 249861248 is 842168942.

It is a Cunningham number, because it is equal to 15807²-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 249861199 and 249861208.

It is not an unprimeable number, because it can be changed into a prime (249861247) by changing a digit.

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, 220748 + ... + 221876.

It is an arithmetic number, because the mean of its divisors is an integer number (5042625).

Almost surely, 2^249861248 is an apocalyptic number.

249861248 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 249861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322728000).

249861248 is an abundant number, since it is smaller than the sum of its proper divisors (395594752).

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

249861248 is a wasteful number, since it uses less digits than its factorization.

249861248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1170 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 249861248 is about 15806.9999683684. Note that the first 4 decimals coincide. The cubic root of 249861248 is about 629.8439590028.

The spelling of 249861248 in words is "two hundred forty-nine million, eight hundred sixty-one thousand, two hundred forty-eight".