248830200 has 72 divisors (see below), whose sum is σ = 835660800. Its totient is φ = 66354240.

The previous prime is 248830193. The next prime is 248830201. The reversal of 248830200 is 2038842.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248830201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67320 + ... + 70919.

It is an arithmetic number, because the mean of its divisors is an integer number (11606400).

Almost surely, 2^248830200 is an apocalyptic number.

248830200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248830200 is an abundant number, since it is smaller than the sum of its proper divisors (586830600).

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

248830200 is a wasteful number, since it uses less digits than its factorization.

248830200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138261 (or 138249 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 248830200 is about 15774.3526016125. The cubic root of 248830200 is about 628.9764179737.

The spelling of 248830200 in words is "two hundred forty-eight million, eight hundred thirty thousand, two hundred".