449758008 has 224 divisors, whose sum is σ = 1510963200. Its totient is φ = 122658624.

The previous prime is 449758007. The next prime is 449758019. The reversal of 449758008 is 800857944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449758007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 938713 + ... + 939191.

Almost surely, 2^449758008 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 449758008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755481600).

449758008 is an abundant number, since it is smaller than the sum of its proper divisors (1061205192).

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

449758008 is a wasteful number, since it uses less digits than its factorization.

449758008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 449758008 is about 21207.4988624307. The cubic root of 449758008 is about 766.1720442432.

The spelling of 449758008 in words is "four hundred forty-nine million, seven hundred fifty-eight thousand, eight".