449815808 has 108 divisors (see below), whose sum is σ = 1002085308. Its totient is φ = 201277440.

The previous prime is 449815789. The next prime is 449815831. The reversal of 449815808 is 808518944.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2408704 + 447407104 = 1552^2 + 21152^2 .

It is a super-2 number, since 2×449815808² = 404668522253385728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1600628 + ... + 1600908.

Almost surely, 2^449815808 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 449815808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501042654).

449815808 is an abundant number, since it is smaller than the sum of its proper divisors (552269500).

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

449815808 is a wasteful number, since it uses less digits than its factorization.

449815808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 47.

The square root of 449815808 is about 21208.8615441753. The cubic root of 449815808 is about 766.2048640014.

The spelling of 449815808 in words is "four hundred forty-nine million, eight hundred fifteen thousand, eight hundred eight".