248754912 has 96 divisors (see below), whose sum is σ = 770402304. Its totient is φ = 68774400.

The previous prime is 248754907. The next prime is 248754929. The reversal of 248754912 is 219457842.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14862 + ... + 26802.

It is an arithmetic number, because the mean of its divisors is an integer number (8025024).

Almost surely, 2^248754912 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 248754912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385201152).

248754912 is an abundant number, since it is smaller than the sum of its proper divisors (521647392).

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

248754912 is a wasteful number, since it uses less digits than its factorization.

248754912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11992 (or 11984 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 248754912 is about 15771.9660156875. The cubic root of 248754912 is about 628.9129755763.

The spelling of 248754912 in words is "two hundred forty-eight million, seven hundred fifty-four thousand, nine hundred twelve".