248364288 has 162 divisors, whose sum is σ = 762735974. Its totient is φ = 77709312.

The previous prime is 248364287. The next prime is 248364293. The reversal of 248364288 is 882463842.

248364288 is a `hidden beast` number, since 2 + 4 + 8 + 364 + 288 = 666.

248364288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 105513984 + 142850304 = 10272^2 + 11952^2 .

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 (248364287) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 665670 + ... + 666042.

Almost surely, 2^248364288 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 248364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381367987).

248364288 is an abundant number, since it is smaller than the sum of its proper divisors (514371686).

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

248364288 is a wasteful number, since it uses less digits than its factorization.

248364288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 395 counting only the distinct ones).

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

The square root of 248364288 is about 15759.5776593156. The cubic root of 248364288 is about 628.5836055886.

The spelling of 248364288 in words is "two hundred forty-eight million, three hundred sixty-four thousand, two hundred eighty-eight".