449904 has 80 divisors (see below), whose sum is σ = 1444352. Its totient is φ = 117504.

The previous prime is 449879. The next prime is 449921. The reversal of 449904 is 409944.

It is a congruent number.

It is an unprimeable number.

449904 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 4317 + ... + 4419.

2⁴⁴⁹⁹⁰⁴ 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 449904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722176).

449904 is an abundant number, since it is smaller than the sum of its proper divisors (994448).

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

449904 is a wasteful number, since it uses less digits than its factorization.

449904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 449904 is about 670.7488352580. The cubic root of 449904 is about 76.6254935403.

The spelling of 449904 in words is "four hundred forty-nine thousand, nine hundred four".