448698880 has 200 divisors, whose sum is σ = 1272247812. Its totient is φ = 151732224.

The previous prime is 448698847. The next prime is 448698883. The reversal of 448698880 is 88896844.

It can be written as a sum of positive squares in 2 ways, for example, as 448084224 + 614656 = 21168^2 + 784^2 .

It is not an unprimeable number, because it can be changed into a prime (448698883) 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 19 ways as a sum of consecutive naturals, for example, 6146524 + ... + 6146596.

Almost surely, 2^448698880 is an apocalyptic number.

448698880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636123906).

448698880 is an abundant number, since it is smaller than the sum of its proper divisors (823548932).

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

448698880 is an frugal number, since it uses more digits than its factorization.

448698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 55.

The square root of 448698880 is about 21182.5135430147. The cubic root of 448698880 is about 765.5701560715.

The spelling of 448698880 in words is "four hundred forty-eight million, six hundred ninety-eight thousand, eight hundred eighty".