248886432 has 168 divisors, whose sum is σ = 753592896. Its totient is φ = 80839296.

The previous prime is 248886413. The next prime is 248886467. The reversal of 248886432 is 234688842.

248886432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1096303 + ... + 1096529.

It is an arithmetic number, because the mean of its divisors is an integer number (4485672).

Almost surely, 2^248886432 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 248886432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376796448).

248886432 is an abundant number, since it is smaller than the sum of its proper divisors (504706464).

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

248886432 is an equidigital number, since it uses as much as digits as its factorization.

248886432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 248886432 is about 15776.1348878615. The cubic root of 248886432 is about 629.0237942408.

The spelling of 248886432 in words is "two hundred forty-eight million, eight hundred eighty-six thousand, four hundred thirty-two".