248800000 has 108 divisors (see below), whose sum is σ = 622741392. Its totient is φ = 99200000.

The previous prime is 248799997. The next prime is 248800001. The reversal of 248800000 is 8842.

It is not an unprimeable number, because it can be changed into a prime (248800001) 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 11 ways as a sum of consecutive naturals, for example, 799845 + ... + 800155.

It is an arithmetic number, because the mean of its divisors is an integer number (5766124).

Almost surely, 2^248800000 is an apocalyptic number.

248800000 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 248800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311370696).

248800000 is an abundant number, since it is smaller than the sum of its proper divisors (373941392).

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

248800000 is an frugal number, since it uses more digits than its factorization.

248800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 248800000 is about 15773.3953225043. The cubic root of 248800000 is about 628.9509710942.

Adding to 248800000 its reverse (8842), we get a palindrome (248808842).

The spelling of 248800000 in words is "two hundred forty-eight million, eight hundred thousand".