448844080 has 80 divisors (see below), whose sum is σ = 1102429440. Its totient is φ = 169604864.

The previous prime is 448844069. The next prime is 448844141. The reversal of 448844080 is 80448844.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×448844080² = 402922016302092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 151251 + ... + 154189.

It is an arithmetic number, because the mean of its divisors is an integer number (13780368).

Almost surely, 2^448844080 is an apocalyptic number.

448844080 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 448844080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551214720).

448844080 is an abundant number, since it is smaller than the sum of its proper divisors (653585360).

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

448844080 is a wasteful number, since it uses less digits than its factorization.

448844080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 448844080 is about 21185.9406210817. The cubic root of 448844080 is about 765.6527272591.

The spelling of 448844080 in words is "four hundred forty-eight million, eight hundred forty-four thousand, eighty".