448560376960 has 64 divisors (see below), whose sum is σ = 1072764243000. Its totient is φ = 179353108480.

The previous prime is 448560376903. The next prime is 448560376961. The reversal of 448560376960 is 69673065844.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 320528087104 + 128032289856 = 566152^2 + 357816^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 448560376895 and 448560376904.

It is not an unprimeable number, because it can be changed into a prime (448560376961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1493880 + ... + 1768840.

Almost surely, 2^448560376960 is an apocalyptic number.

448560376960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448560376960 is an abundant number, since it is smaller than the sum of its proper divisors (624203866040).

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

448560376960 is a wasteful number, since it uses less digits than its factorization.

448560376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277529 (or 277517 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 448560376960 in words is "four hundred forty-eight billion, five hundred sixty million, three hundred seventy-six thousand, nine hundred sixty".