248248180 has 48 divisors (see below), whose sum is σ = 531803664. Its totient is φ = 97320960.

The previous prime is 248248151. The next prime is 248248181. The reversal of 248248180 is 81842842.

248248180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 29030544 + 219217636 = 5388^2 + 14806^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248248181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281340 + ... + 282220.

It is an arithmetic number, because the mean of its divisors is an integer number (11079243).

Almost surely, 2^248248180 is an apocalyptic number.

248248180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248248180 is an abundant number, since it is smaller than the sum of its proper divisors (283555484).

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

248248180 is a wasteful number, since it uses less digits than its factorization.

248248180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 248248180 is about 15755.8935005286. The cubic root of 248248180 is about 628.4856379864.

The spelling of 248248180 in words is "two hundred forty-eight million, two hundred forty-eight thousand, one hundred eighty".