248633856 has 120 divisors (see below), whose sum is σ = 727721280. Its totient is φ = 81709056.

The previous prime is 248633831. The next prime is 248633873. The reversal of 248633856 is 658336842.

It is a happy number.

248633856 is a `hidden beast` number, since 2 + 4 + 8 + 633 + 8 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363691 + ... + 364373.

It is an arithmetic number, because the mean of its divisors is an integer number (6064344).

Almost surely, 2^248633856 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 248633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363860640).

248633856 is an abundant number, since it is smaller than the sum of its proper divisors (479087424).

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

248633856 is an equidigital number, since it uses as much as digits as its factorization.

248633856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 767 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 248633856 is about 15768.1278533629. The cubic root of 248633856 is about 628.8109393431.

The spelling of 248633856 in words is "two hundred forty-eight million, six hundred thirty-three thousand, eight hundred fifty-six".