248255120 has 20 divisors (see below), whose sum is σ = 577193340. Its totient is φ = 99302016.

The previous prime is 248255113. The next prime is 248255141. The reversal of 248255120 is 21552842.

It can be written as a sum of positive squares in 2 ways, for example, as 115175824 + 133079296 = 10732^2 + 11536^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 1551515 + ... + 1551674.

It is an arithmetic number, because the mean of its divisors is an integer number (28859667).

Almost surely, 2^248255120 is an apocalyptic number.

248255120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248255120 is an abundant number, since it is smaller than the sum of its proper divisors (328938220).

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

248255120 is a wasteful number, since it uses less digits than its factorization.

248255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103202 (or 3103196 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 248255120 is about 15756.1137340399. The cubic root of 248255120 is about 628.4914945580.

The spelling of 248255120 in words is "two hundred forty-eight million, two hundred fifty-five thousand, one hundred twenty".