248861249 has 48 divisors (see below), whose sum is σ = 336002688. Its totient is φ = 182552832.

The previous prime is 248861243. The next prime is 248861257. The reversal of 248861249 is 942168842.

It is not a de Polignac number, because 248861249 - 2²⁰ = 247812673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248861243) 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 47 ways as a sum of consecutive naturals, for example, 3714314 + ... + 3714380.

It is an arithmetic number, because the mean of its divisors is an integer number (7000056).

Almost surely, 2^248861249 is an apocalyptic number.

It is an amenable number.

248861249 is a deficient number, since it is larger than the sum of its proper divisors (87141439).

248861249 is an frugal number, since it uses more digits than its factorization.

248861249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 248861249 is about 15775.3367317468. The cubic root of 248861249 is about 629.0025780842.

The spelling of 248861249 in words is "two hundred forty-eight million, eight hundred sixty-one thousand, two hundred forty-nine".