248448852 has 72 divisors (see below), whose sum is σ = 666207360. Its totient is φ = 77901120.

The previous prime is 248448847. The next prime is 248448859. The reversal of 248448852 is 258844842.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 248448798 and 248448807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248448859) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48049 + ... + 52967.

It is an arithmetic number, because the mean of its divisors is an integer number (9252880).

Almost surely, 2^248448852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248448852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333103680).

248448852 is an abundant number, since it is smaller than the sum of its proper divisors (417758508).

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

248448852 is a wasteful number, since it uses less digits than its factorization.

248448852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 5008 counting only the distinct ones).

The product of its digits is 655360, while the sum is 45.

The square root of 248448852 is about 15762.2603708986. The cubic root of 248448852 is about 628.6549383242.

The spelling of 248448852 in words is "two hundred forty-eight million, four hundred forty-eight thousand, eight hundred fifty-two".