249961248 has 96 divisors (see below), whose sum is σ = 733320000. Its totient is φ = 82833408.

The previous prime is 249961219. The next prime is 249961253. The reversal of 249961248 is 842169942.

249961248 is a `hidden beast` number, since 24 + 9 + 9 + 612 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 166003 + ... + 167501.

It is an arithmetic number, because the mean of its divisors is an integer number (7638750).

Almost surely, 2^249961248 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 249961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366660000).

249961248 is an abundant number, since it is smaller than the sum of its proper divisors (483358752).

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

249961248 is a wasteful number, since it uses less digits than its factorization.

249961248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1697 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 249961248 is about 15810.1628075109. The cubic root of 249961248 is about 629.9279736251.

It can be divided in two parts, 24996 and 1248, that added together give a square (26244 = 162²).

The spelling of 249961248 in words is "two hundred forty-nine million, nine hundred sixty-one thousand, two hundred forty-eight".