449242728448 has 96 divisors (see below), whose sum is σ = 902833003800. Its totient is φ = 223483133952.

The previous prime is 449242728439. The next prime is 449242728449. The reversal of 449242728448 is 844827242944.

It can be written as a sum of positive squares in 4 ways, for example, as 448535593984 + 707134464 = 669728^2 + 26592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 449242728392 and 449242728401.

It is not an unprimeable number, because it can be changed into a prime (449242728449) 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, 633628318 + ... + 633629026.

Almost surely, 2^449242728448 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 449242728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451416501900).

449242728448 is an abundant number, since it is smaller than the sum of its proper divisors (453590275352).

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

449242728448 is an equidigital number, since it uses as much as digits as its factorization.

449242728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1845 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 58.

The spelling of 449242728448 in words is "four hundred forty-nine billion, two hundred forty-two million, seven hundred twenty-eight thousand, four hundred forty-eight".