248659104 has 48 divisors (see below), whose sum is σ = 653788800. Its totient is φ = 82752000.

The previous prime is 248659063. The next prime is 248659121. The reversal of 248659104 is 401956842.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 70372 + ... + 73820.

It is an arithmetic number, because the mean of its divisors is an integer number (13620600).

Almost surely, 2^248659104 is an apocalyptic number.

248659104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248659104 is an abundant number, since it is smaller than the sum of its proper divisors (405129696).

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

248659104 is a wasteful number, since it uses less digits than its factorization.

248659104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 248659104 is about 15768.9284353757. The cubic root of 248659104 is about 628.8322232255.

The spelling of 248659104 in words is "two hundred forty-eight million, six hundred fifty-nine thousand, one hundred four".