448484000080 has 80 divisors (see below), whose sum is σ = 1086555701520. Its totient is φ = 171943202816.

The previous prime is 448484000059. The next prime is 448484000093. The reversal of 448484000080 is 80000484844.

It can be written as a sum of positive squares in 8 ways, for example, as 22304825104 + 426179174976 = 149348^2 + 652824^2 .

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

It is a super-2 number, since 2×448484000080² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 448483999997 and 448484000042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387679 + ... + 1023358.

It is an arithmetic number, because the mean of its divisors is an integer number (13581946269).

Almost surely, 2^448484000080 is an apocalyptic number.

448484000080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448484000080 is an abundant number, since it is smaller than the sum of its proper divisors (638071701440).

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

448484000080 is a wasteful number, since it uses less digits than its factorization.

448484000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411216 (or 1411210 counting only the distinct ones).

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

The spelling of 448484000080 in words is "four hundred forty-eight billion, four hundred eighty-four million, eighty", and thus it is an aban number.