449629648 has 40 divisors (see below), whose sum is σ = 943017768. Its totient is φ = 206449152.

The previous prime is 449629639. The next prime is 449629667. The reversal of 449629648 is 846926944.

It can be written as a sum of positive squares in 4 ways, for example, as 123032464 + 326597184 = 11092^2 + 18072^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 449629595 and 449629604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35490 + ... + 46462.

Almost surely, 2^449629648 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 449629648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471508884).

449629648 is an abundant number, since it is smaller than the sum of its proper divisors (493388120).

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

449629648 is a wasteful number, since it uses less digits than its factorization.

449629648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11191 (or 11185 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 52.

The square root of 449629648 is about 21204.4723584436. The cubic root of 449629648 is about 766.0991493388.

The spelling of 449629648 in words is "four hundred forty-nine million, six hundred twenty-nine thousand, six hundred forty-eight".