248265856 has 128 divisors (see below), whose sum is σ = 558144000. Its totient is φ = 109486080.

The previous prime is 248265851. The next prime is 248265869. The reversal of 248265856 is 658562842.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (248265851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2789460 + ... + 2789548.

It is an arithmetic number, because the mean of its divisors is an integer number (4360500).

Almost surely, 2^248265856 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 248265856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279072000).

248265856 is an abundant number, since it is smaller than the sum of its proper divisors (309878144).

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

248265856 is a wasteful number, since it uses less digits than its factorization.

248265856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

The square root of 248265856 is about 15756.4544235053. The cubic root of 248265856 is about 628.5005543072.

The spelling of 248265856 in words is "two hundred forty-eight million, two hundred sixty-five thousand, eight hundred fifty-six".