449408736 has 480 divisors, whose sum is σ = 1686085632. Its totient is φ = 114462720.

The previous prime is 449408711. The next prime is 449408759. The reversal of 449408736 is 637804944.

It is a junction number, because it is equal to n+sod(n) for n = 449408691 and 449408700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9561865 + ... + 9561911.

Almost surely, 2^449408736 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 449408736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843042816).

449408736 is an abundant number, since it is smaller than the sum of its proper divisors (1236676896).

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

449408736 is a wasteful number, since it uses less digits than its factorization.

449408736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 449408736 is about 21199.2626286859. The cubic root of 449408736 is about 765.9736621957.

The spelling of 449408736 in words is "four hundred forty-nine million, four hundred eight thousand, seven hundred thirty-six".