248250240 has 384 divisors, whose sum is σ = 1008184320. Its totient is φ = 55111680.

The previous prime is 248250239. The next prime is 248250271. The reversal of 248250240 is 42052842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1894975 + ... + 1895105.

It is an arithmetic number, because the mean of its divisors is an integer number (2625480).

Almost surely, 2^248250240 is an apocalyptic number.

248250240 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 248250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504092160).

248250240 is an abundant number, since it is smaller than the sum of its proper divisors (759934080).

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

248250240 is a wasteful number, since it uses less digits than its factorization.

248250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 248250240 is about 15755.9588727567. The cubic root of 248250240 is about 628.4873764038.

The spelling of 248250240 in words is "two hundred forty-eight million, two hundred fifty thousand, two hundred forty".