248458752 has 120 divisors (see below), whose sum is σ = 743999256. Its totient is φ = 82778112.

The previous prime is 248458741. The next prime is 248458783. The reversal of 248458752 is 257854842.

It is a junction number, because it is equal to n+sod(n) for n = 248458698 and 248458707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123418 + ... + 125414.

Almost surely, 2^248458752 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 248458752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371999628).

248458752 is an abundant number, since it is smaller than the sum of its proper divisors (495540504).

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

248458752 is an frugal number, since it uses more digits than its factorization.

248458752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2002 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 248458752 is about 15762.5744090234. The cubic root of 248458752 is about 628.6632882672.

The spelling of 248458752 in words is "two hundred forty-eight million, four hundred fifty-eight thousand, seven hundred fifty-two".