248873856 has 256 divisors, whose sum is σ = 869529600. Its totient is φ = 61102080.

The previous prime is 248873851. The next prime is 248873857. The reversal of 248873856 is 658378842.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 248873799 and 248873808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248873851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561571 + ... + 562013.

It is an arithmetic number, because the mean of its divisors is an integer number (3396600).

Almost surely, 2^248873856 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 248873856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434764800).

248873856 is an abundant number, since it is smaller than the sum of its proper divisors (620655744).

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

248873856 is a wasteful number, since it uses less digits than its factorization.

248873856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 248873856 is about 15775.7363061126. The cubic root of 248873856 is about 629.0131993998.

The spelling of 248873856 in words is "two hundred forty-eight million, eight hundred seventy-three thousand, eight hundred fifty-six".