449872 has 20 divisors (see below), whose sum is σ = 900736. Its totient is φ = 217440.

The previous prime is 449851. The next prime is 449879. The reversal of 449872 is 278944.

It is a happy number.

449872 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 949.

2⁴⁴⁹⁸⁷² 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 449872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450368).

449872 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

449872 is a wasteful number, since it uses less digits than its factorization.

449872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 449872 is about 670.7249808975. The cubic root of 449872 is about 76.6236768017.

The spelling of 449872 in words is "four hundred forty-nine thousand, eight hundred seventy-two".