248419872 has 168 divisors, whose sum is σ = 766813824. Its totient is φ = 79035264.

The previous prime is 248419837. The next prime is 248419879. The reversal of 248419872 is 278914842.

It is not an unprimeable number, because it can be changed into a prime (248419879) 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 27 ways as a sum of consecutive naturals, for example, 536313 + ... + 536775.

It is an arithmetic number, because the mean of its divisors is an integer number (4564368).

Almost surely, 2^248419872 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 248419872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383406912).

248419872 is an abundant number, since it is smaller than the sum of its proper divisors (518393952).

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

248419872 is an equidigital number, since it uses as much as digits as its factorization.

248419872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 491 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 248419872 is about 15761.3410596941. The cubic root of 248419872 is about 628.6304944888.

The spelling of 248419872 in words is "two hundred forty-eight million, four hundred nineteen thousand, eight hundred seventy-two".