448010880 has 128 divisors (see below), whose sum is σ = 1503316800. Its totient is φ = 113172480.

The previous prime is 448010873. The next prime is 448010887. The reversal of 448010880 is 88010844.

It is an interprime number because it is at equal distance from previous prime (448010873) and next prime (448010887).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (448010887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30340 + ... + 42620.

Almost surely, 2^448010880 is an apocalyptic number.

448010880 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 448010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751658400).

448010880 is an abundant number, since it is smaller than the sum of its proper divisors (1055305920).

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

448010880 is a wasteful number, since it uses less digits than its factorization.

448010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 448010880 is about 21166.2675027979. The cubic root of 448010880 is about 765.1786673122.

The spelling of 448010880 in words is "four hundred forty-eight million, ten thousand, eight hundred eighty".