248891472 has 120 divisors (see below), whose sum is σ = 714422280. Its totient is φ = 80870400.

The previous prime is 248891459. The next prime is 248891473. The reversal of 248891472 is 274198842.

It can be written as a sum of positive squares in 4 ways, for example, as 98485776 + 150405696 = 9924^2 + 12264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248891473) 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 23 ways as a sum of consecutive naturals, for example, 1585218 + ... + 1585374.

It is an arithmetic number, because the mean of its divisors is an integer number (5953519).

Almost surely, 2^248891472 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 248891472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357211140).

248891472 is an abundant number, since it is smaller than the sum of its proper divisors (465530808).

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

248891472 is a wasteful number, since it uses less digits than its factorization.

248891472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 248891472 is about 15776.2946219954. The cubic root of 248891472 is about 629.0280401646.

The spelling of 248891472 in words is "two hundred forty-eight million, eight hundred ninety-one thousand, four hundred seventy-two".