449072 has 40 divisors (see below), whose sum is σ = 999936. Its totient is φ = 193536.

The previous prime is 449051. The next prime is 449077. The reversal of 449072 is 270944.

449072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×449072² = 403331322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449077) 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, 3473 + ... + 3599.

2⁴⁴⁹⁰⁷² 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 449072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

449072 is an abundant number, since it is smaller than the sum of its proper divisors (550864).

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

449072 is a wasteful number, since it uses less digits than its factorization.

449072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 449072 is about 670.1283459159. The cubic root of 449072 is about 76.5782303095.

The spelling of 449072 in words is "four hundred forty-nine thousand, seventy-two".