248785272 has 96 divisors (see below), whose sum is σ = 696833280. Its totient is φ = 80136000.

The previous prime is 248785249. The next prime is 248785301. The reversal of 248785272 is 272587842.

248785272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248785272² = 123788223128227968, which contains 22 as substring.

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, 330897 + ... + 331647.

It is an arithmetic number, because the mean of its divisors is an integer number (7258680).

Almost surely, 2^248785272 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 248785272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348416640).

248785272 is an abundant number, since it is smaller than the sum of its proper divisors (448048008).

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

248785272 is a wasteful number, since it uses less digits than its factorization.

248785272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 906 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 248785272 is about 15772.9284535244. The cubic root of 248785272 is about 628.9385603591.

It can be divided in two parts, 24 and 8785272, that added together give a square (8785296 = 2964²).

The spelling of 248785272 in words is "two hundred forty-eight million, seven hundred eighty-five thousand, two hundred seventy-two".