248608460200 has 96 divisors (see below), whose sum is σ = 608604796800. Its totient is φ = 94183464960.

The previous prime is 248608460179. The next prime is 248608460209. The reversal of 248608460200 is 2064806842.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (248608460209) 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, 18966849 + ... + 18979951.

It is an arithmetic number, because the mean of its divisors is an integer number (6339633300).

Almost surely, 2^248608460200 is an apocalyptic number.

248608460200 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 248608460200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304302398400).

248608460200 is an abundant number, since it is smaller than the sum of its proper divisors (359996336600).

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

248608460200 is a wasteful number, since it uses less digits than its factorization.

248608460200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18131 (or 18122 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 248608460200 in words is "two hundred forty-eight billion, six hundred eight million, four hundred sixty thousand, two hundred".