448888968 has 96 divisors (see below), whose sum is σ = 1338910560. Its totient is φ = 134730240.

The previous prime is 448888949. The next prime is 448888987. The reversal of 448888968 is 869888844.

It is a happy number.

It is a Cunningham number, because it is equal to 21187²-1.

It is an interprime number because it is at equal distance from previous prime (448888949) and next prime (448888987).

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 23 ways as a sum of consecutive naturals, for example, 82096 + ... + 87392.

It is an arithmetic number, because the mean of its divisors is an integer number (13946985).

Almost surely, 2^448888968 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 448888968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669455280).

448888968 is an abundant number, since it is smaller than the sum of its proper divisors (890021592).

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

448888968 is a wasteful number, since it uses less digits than its factorization.

448888968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5420 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 63.

The square root of 448888968 is about 21186.9999764006. Note that the first 4 decimals coincide. The cubic root of 448888968 is about 765.6782502083.

The spelling of 448888968 in words is "four hundred forty-eight million, eight hundred eighty-eight thousand, nine hundred sixty-eight".