248877072 has 120 divisors (see below), whose sum is σ = 733089240. Its totient is φ = 78704640.

The previous prime is 248877053. The next prime is 248877073. The reversal of 248877072 is 270778842.

It can be written as a sum of positive squares in 4 ways, for example, as 32080896 + 216796176 = 5664^2 + 14724^2 .

It is not an unprimeable number, because it can be changed into a prime (248877073) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 254248 + ... + 255224.

It is an arithmetic number, because the mean of its divisors is an integer number (6109077).

Almost surely, 2^248877072 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 248877072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366544620).

248877072 is an abundant number, since it is smaller than the sum of its proper divisors (484212168).

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

248877072 is a wasteful number, since it uses less digits than its factorization.

248877072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 248877072 is about 15775.8382344648. The cubic root of 248877072 is about 629.0159088015.

It can be divided in two parts, 2488770 and 72, that added together give a palindrome (2488842).

The spelling of 248877072 in words is "two hundred forty-eight million, eight hundred seventy-seven thousand, seventy-two".