248426449320 has 256 divisors, whose sum is σ = 920810649600. Its totient is φ = 52340567040.

The previous prime is 248426449309. The next prime is 248426449363. The reversal of 248426449320 is 23944624842.

248426449320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 248426449320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380175 + ... + 800865.

It is an arithmetic number, because the mean of its divisors is an integer number (3596916600).

Almost surely, 2^248426449320 is an apocalyptic number.

248426449320 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 248426449320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460405324800).

248426449320 is an abundant number, since it is smaller than the sum of its proper divisors (672384200280).

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

248426449320 is a wasteful number, since it uses less digits than its factorization.

248426449320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420768 (or 420764 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 248426449320 in words is "two hundred forty-eight billion, four hundred twenty-six million, four hundred forty-nine thousand, three hundred twenty".