248086944 has 72 divisors (see below), whose sum is σ = 806289120. Its totient is φ = 70881408.

The previous prime is 248086919. The next prime is 248086963. The reversal of 248086944 is 449680842.

248086944 is a `hidden beast` number, since 2 + 480 + 86 + 94 + 4 = 666.

248086944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 248086944.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59514 + ... + 63545.

It is an arithmetic number, because the mean of its divisors is an integer number (11198460).

Almost surely, 2^248086944 is an apocalyptic number.

248086944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248086944 is an abundant number, since it is smaller than the sum of its proper divisors (558202176).

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

248086944 is a wasteful number, since it uses less digits than its factorization.

248086944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123082 (or 123071 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 248086944 is about 15750.7759808842. The cubic root of 248086944 is about 628.3495423837.

The spelling of 248086944 in words is "two hundred forty-eight million, eighty-six thousand, nine hundred forty-four".