248421888 has 360 divisors, whose sum is σ = 876138120. Its totient is φ = 67092480.

The previous prime is 248421883. The next prime is 248421907. The reversal of 248421888 is 888124842.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248421881) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8566258 + ... + 8566286.

It is an arithmetic number, because the mean of its divisors is an integer number (2433717).

Almost surely, 2^248421888 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 248421888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438069060).

248421888 is an abundant number, since it is smaller than the sum of its proper divisors (627716232).

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

248421888 is a wasteful number, since it uses less digits than its factorization.

248421888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 248421888 is about 15761.4050135132. The cubic root of 248421888 is about 628.6321949911.

The spelling of 248421888 in words is "two hundred forty-eight million, four hundred twenty-one thousand, eight hundred eighty-eight".