449952 has 48 divisors (see below), whose sum is σ = 1219680. Its totient is φ = 145152.

The previous prime is 449951. The next prime is 449959. The reversal of 449952 is 259944.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (449951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4074 + ... + 4182.

It is an arithmetic number, because the mean of its divisors is an integer number (25410).

2⁴⁴⁹⁹⁵² 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 449952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609840).

449952 is an abundant number, since it is smaller than the sum of its proper divisors (769728).

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

449952 is a wasteful number, since it uses less digits than its factorization.

449952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 449952 is about 670.7846152082. The cubic root of 449952 is about 76.6282184867.

The spelling of 449952 in words is "four hundred forty-nine thousand, nine hundred fifty-two".