248758272 has 180 divisors, whose sum is σ = 824679856. Its totient is φ = 70778880.

The previous prime is 248758261. The next prime is 248758277. The reversal of 248758272 is 272857842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248758277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032072 + ... + 1032312.

Almost surely, 2^248758272 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 248758272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412339928).

248758272 is an abundant number, since it is smaller than the sum of its proper divisors (575921584).

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

248758272 is an equidigital number, since it uses as much as digits as its factorization.

248758272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 253 counting only the distinct ones).

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

The square root of 248758272 is about 15772.0725334371. The cubic root of 248758272 is about 628.9158071962.

The spelling of 248758272 in words is "two hundred forty-eight million, seven hundred fifty-eight thousand, two hundred seventy-two".