248517912 has 64 divisors (see below), whose sum is σ = 635040000. Its totient is φ = 81021824.

The previous prime is 248517869. The next prime is 248517947. The reversal of 248517912 is 219715842.

248517912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248517912² = 123522305169679488, which contains 22 as substring.

Its product of digits (40320) is a multiple of the sum of its prime factors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414589 + ... + 415187.

It is an arithmetic number, because the mean of its divisors is an integer number (9922500).

Almost surely, 2^248517912 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 248517912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520000).

248517912 is an abundant number, since it is smaller than the sum of its proper divisors (386522088).

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

248517912 is a wasteful number, since it uses less digits than its factorization.

248517912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 956 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 248517912 is about 15764.4508943382. The cubic root of 248517912 is about 628.7131808796.

The spelling of 248517912 in words is "two hundred forty-eight million, five hundred seventeen thousand, nine hundred twelve".