248448816 has 360 divisors, whose sum is σ = 921243120. Its totient is φ = 63866880.

The previous prime is 248448793. The next prime is 248448841. The reversal of 248448816 is 618844842.

248448816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2561280 + ... + 2561376.

Almost surely, 2^248448816 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 248448816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460621560).

248448816 is an abundant number, since it is smaller than the sum of its proper divisors (672794304).

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

248448816 is a wasteful number, since it uses less digits than its factorization.

248448816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 248448816 is about 15762.2592289304. The cubic root of 248448816 is about 628.6549079604.

The spelling of 248448816 in words is "two hundred forty-eight million, four hundred forty-eight thousand, eight hundred sixteen".