449964 has 36 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 144480.

The previous prime is 449963. The next prime is 449971. The reversal of 449964 is 469944.

449964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (449963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 829 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁴⁴⁹⁹⁶⁴ 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 449964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

449964 is an abundant number, since it is smaller than the sum of its proper divisors (729396).

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

449964 is a wasteful number, since it uses less digits than its factorization.

449964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 465 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 449964 is about 670.7935598975. The cubic root of 449964 is about 76.6288996930.

The spelling of 449964 in words is "four hundred forty-nine thousand, nine hundred sixty-four".