248851296 has 72 divisors (see below), whose sum is σ = 714626640. Its totient is φ = 82135296.

The previous prime is 248851279. The next prime is 248851313. The reversal of 248851296 is 692158842.

248851296 is a `hidden beast` number, since 2 + 48 + 8 + 512 + 96 = 666.

248851296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248851279) and next prime (248851313).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25470 + ... + 33858.

It is an arithmetic number, because the mean of its divisors is an integer number (9925370).

Almost surely, 2^248851296 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 248851296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357313320).

248851296 is an abundant number, since it is smaller than the sum of its proper divisors (465775344).

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

248851296 is a wasteful number, since it uses less digits than its factorization.

248851296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8508 (or 8497 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 248851296 is about 15775.0212678145. The cubic root of 248851296 is about 628.9941924930.

The spelling of 248851296 in words is "two hundred forty-eight million, eight hundred fifty-one thousand, two hundred ninety-six".