248376800 has 144 divisors (see below), whose sum is σ = 734015520. Its totient is φ = 80117760.

The previous prime is 248376787. The next prime is 248376803. The reversal of 248376800 is 8673842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248376803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 93896 + ... + 96504.

It is an arithmetic number, because the mean of its divisors is an integer number (5097330).

Almost surely, 2^248376800 is an apocalyptic number.

248376800 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 248376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367007760).

248376800 is an abundant number, since it is smaller than the sum of its proper divisors (485638720).

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

248376800 is a wasteful number, since it uses less digits than its factorization.

248376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 248376800 is about 15759.9746192689. The cubic root of 248376800 is about 628.5941609252.

The spelling of 248376800 in words is "two hundred forty-eight million, three hundred seventy-six thousand, eight hundred".