248961258 has 72 divisors (see below), whose sum is σ = 675783108. Its totient is φ = 65657088.

The previous prime is 248961253. The next prime is 248961289. The reversal of 248961258 is 852169842.

248961258 is a `hidden beast` number, since 24 + 8 + 9 + 612 + 5 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224190729 + 24770529 = 14973^2 + 4977^2 .

It is not an unprimeable number, because it can be changed into a prime (248961253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 610 + ... + 22322.

Almost surely, 2^248961258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248961258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337891554).

248961258 is an abundant number, since it is smaller than the sum of its proper divisors (426821850).

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

248961258 is a wasteful number, since it uses less digits than its factorization.

248961258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21748 (or 21738 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 248961258 is about 15778.5062030599. The cubic root of 248961258 is about 629.0868251555.

The spelling of 248961258 in words is "two hundred forty-eight million, nine hundred sixty-one thousand, two hundred fifty-eight".