449085440 has 64 divisors (see below), whose sum is σ = 1078181820. Its totient is φ = 179568640.

The previous prime is 449085431. The next prime is 449085443. The reversal of 449085440 is 44580944.

It can be written as a sum of positive squares in 2 ways, for example, as 435306496 + 13778944 = 20864^2 + 3712^2 .

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 = 449085394 and 449085403.

It is not an unprimeable number, because it can be changed into a prime (449085443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162470 + ... + 165210.

Almost surely, 2^449085440 is an apocalyptic number.

449085440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539090910).

449085440 is an abundant number, since it is smaller than the sum of its proper divisors (629096380).

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

449085440 is an frugal number, since it uses more digits than its factorization.

449085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 449085440 is about 21191.6360859656. The cubic root of 449085440 is about 765.7899425610.

The spelling of 449085440 in words is "four hundred forty-nine million, eighty-five thousand, four hundred forty".