248261320 has 32 divisors (see below), whose sum is σ = 566246520. Its totient is φ = 97943040.

The previous prime is 248261311. The next prime is 248261323. The reversal of 248261320 is 23162842.

It can be written as a sum of positive squares in 4 ways, for example, as 191379556 + 56881764 = 13834^2 + 7542^2 .

It is not an unprimeable number, because it can be changed into a prime (248261323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39591 + ... + 45430.

Almost surely, 2^248261320 is an apocalyptic number.

248261320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248261320 is an abundant number, since it is smaller than the sum of its proper divisors (317985200).

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

248261320 is a wasteful number, since it uses less digits than its factorization.

248261320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85105 (or 85101 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 248261320 is about 15756.3104818355. The cubic root of 248261320 is about 628.4967265613.

The spelling of 248261320 in words is "two hundred forty-eight million, two hundred sixty-one thousand, three hundred twenty".