248949120 has 128 divisors (see below), whose sum is σ = 906935040. Its totient is φ = 56899584.

The previous prime is 248949119. The next prime is 248949161. The reversal of 248949120 is 21949842.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4179 + ... + 22701.

It is an arithmetic number, because the mean of its divisors is an integer number (7085430).

Almost surely, 2^248949120 is an apocalyptic number.

248949120 is a gapful number since it is divisible by the number (20) 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 248949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453467520).

248949120 is an abundant number, since it is smaller than the sum of its proper divisors (657985920).

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

248949120 is a wasteful number, since it uses less digits than its factorization.

248949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18552 (or 18540 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 248949120 is about 15778.1215611999. The cubic root of 248949120 is about 629.0766013693.

The spelling of 248949120 in words is "two hundred forty-eight million, nine hundred forty-nine thousand, one hundred twenty".