449488000 has 128 divisors (see below), whose sum is σ = 1204061040. Its totient is φ = 165888000.

The previous prime is 449487991. The next prime is 449488027. The reversal of 449488000 is 884944.

It can be written as a sum of positive squares in 8 ways, for example, as 1065024 + 448422976 = 1032^2 + 21176^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206920 + ... + 209080.

Almost surely, 2^449488000 is an apocalyptic number.

449488000 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 449488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602030520).

449488000 is an abundant number, since it is smaller than the sum of its proper divisors (754573040).

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

449488000 is a wasteful number, since it uses less digits than its factorization.

449488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 449488000 is about 21201.1320452470. The cubic root of 449488000 is about 766.0186921520.

The spelling of 449488000 in words is "four hundred forty-nine million, four hundred eighty-eight thousand".