448027776 has 144 divisors (see below), whose sum is σ = 1499924790. Its totient is φ = 127991808.

The previous prime is 448027753. The next prime is 448027777. The reversal of 448027776 is 677720844.

It can be written as a sum of positive squares in only one way, i.e., 244109376 + 203918400 = 15624^2 + 14280^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (448027777) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52480 + ... + 60416.

Almost surely, 2^448027776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448027776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749962395).

448027776 is an abundant number, since it is smaller than the sum of its proper divisors (1051897014).

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

448027776 is a wasteful number, since it uses less digits than its factorization.

448027776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7971 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 448027776 is about 21166.6666246719. Note that the first 4 decimals coincide. The cubic root of 448027776 is about 765.1882863466.

The spelling of 448027776 in words is "four hundred forty-eight million, twenty-seven thousand, seven hundred seventy-six".