248927712 has 192 divisors, whose sum is σ = 766692864. Its totient is φ = 69949440.

The previous prime is 248927711. The next prime is 248927741. The reversal of 248927712 is 217729842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248927711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898518 + ... + 898794.

It is an arithmetic number, because the mean of its divisors is an integer number (3993192).

Almost surely, 2^248927712 is an apocalyptic number.

248927712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248927712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383346432).

248927712 is an abundant number, since it is smaller than the sum of its proper divisors (517765152).

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

248927712 is a wasteful number, since it uses less digits than its factorization.

248927712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 248927712 is about 15777.4431388613. The cubic root of 248927712 is about 629.0585686913.

The spelling of 248927712 in words is "two hundred forty-eight million, nine hundred twenty-seven thousand, seven hundred twelve".