248602872 has 96 divisors (see below), whose sum is σ = 735436800. Its totient is φ = 69806016.

The previous prime is 248602867. The next prime is 248602891. The reversal of 248602872 is 278206842.

248602872 is digitally balanced in base 2, 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 248602872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67593 + ... + 71175.

It is an arithmetic number, because the mean of its divisors is an integer number (7660800).

Almost surely, 2^248602872 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 248602872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367718400).

248602872 is an abundant number, since it is smaller than the sum of its proper divisors (486833928).

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

248602872 is a wasteful number, since it uses less digits than its factorization.

248602872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 248602872 is about 15767.1453345239. The cubic root of 248602872 is about 628.7848180848.

The spelling of 248602872 in words is "two hundred forty-eight million, six hundred two thousand, eight hundred seventy-two".