449880 has 64 divisors (see below), whose sum is σ = 1416960. Its totient is φ = 114048.

The previous prime is 449879. The next prime is 449921. The reversal of 449880 is 88944.

449880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2679 + ... + 2841.

It is an arithmetic number, because the mean of its divisors is an integer number (22140).

2⁴⁴⁹⁸⁸⁰ is an apocalyptic number.

449880 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 449880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708480).

449880 is an abundant number, since it is smaller than the sum of its proper divisors (967080).

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

449880 is a wasteful number, since it uses less digits than its factorization.

449880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 449880 is about 670.7309445672. The cubic root of 449880 is about 76.6241309944.

The spelling of 449880 in words is "four hundred forty-nine thousand, eight hundred eighty".