248768000 has 240 divisors, whose sum is σ = 700910496. Its totient is φ = 87859200.

The previous prime is 248767997. The next prime is 248768017. The reversal of 248768000 is 867842.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10815989 + ... + 10816011.

Almost surely, 2^248768000 is an apocalyptic number.

248768000 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 248768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350455248).

248768000 is an abundant number, since it is smaller than the sum of its proper divisors (452142496).

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

248768000 is an equidigital number, since it uses as much as digits as its factorization.

248768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 248768000 is about 15772.3809236272. The cubic root of 248768000 is about 628.9240052663.

The spelling of 248768000 in words is "two hundred forty-eight million, seven hundred sixty-eight thousand".