448000251728 has 40 divisors (see below), whose sum is σ = 941475444840. Its totient is φ = 205681602560.

The previous prime is 448000251691. The next prime is 448000251731. The reversal of 448000251728 is 827152000844.

It can be written as a sum of positive squares in 4 ways, for example, as 25302628624 + 422697623104 = 159068^2 + 650152^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20074943 + ... + 20097246.

It is an arithmetic number, because the mean of its divisors is an integer number (23536886121).

Almost surely, 2^448000251728 is an apocalyptic number.

It is an amenable number.

448000251728 is an abundant number, since it is smaller than the sum of its proper divisors (493475193112).

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

448000251728 is a wasteful number, since it uses less digits than its factorization.

448000251728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40172255 (or 40172249 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 41.

The spelling of 448000251728 in words is "four hundred forty-eight billion, two hundred fifty-one thousand, seven hundred twenty-eight".