248871040 has 256 divisors, whose sum is σ = 713836800. Its totient is φ = 82001920.

The previous prime is 248871023. The next prime is 248871043. The reversal of 248871040 is 40178842.

It is a junction number, because it is equal to n+sod(n) for n = 248870987 and 248871005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248871043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4695654 + ... + 4695706.

It is an arithmetic number, because the mean of its divisors is an integer number (2788425).

Almost surely, 2^248871040 is an apocalyptic number.

248871040 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 248871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356918400).

248871040 is an abundant number, since it is smaller than the sum of its proper divisors (464965760).

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

248871040 is a wasteful number, since it uses less digits than its factorization.

248871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 248871040 is about 15775.6470548754. The cubic root of 248871040 is about 629.0108269692.

The spelling of 248871040 in words is "two hundred forty-eight million, eight hundred seventy-one thousand, forty".