449984 has 28 divisors (see below), whose sum is σ = 914400. Its totient is φ = 219648.

The previous prime is 449971. The next prime is 449987. The reversal of 449984 is 489944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449987) by changing a digit.

449984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5012 + ... + 5100.

2⁴⁴⁹⁹⁸⁴ 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 449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457200).

449984 is an abundant number, since it is smaller than the sum of its proper divisors (464416).

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

449984 is an equidigital number, since it uses as much as digits as its factorization.

449984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 449984 is about 670.8084674480. The cubic root of 449984 is about 76.6300350100.

The spelling of 449984 in words is "four hundred forty-nine thousand, nine hundred eighty-four".