447672 has 32 divisors (see below), whose sum is σ = 1169280. Its totient is φ = 142560.

The previous prime is 447641. The next prime is 447677. The reversal of 447672 is 276744.

447672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 4⁴ + 4⁴ + 6⁷ + 7⁵ + 7⁶ + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447677) by changing a digit.

447672 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 7 ways as a sum of consecutive naturals, for example, 147 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (36540).

2⁴⁴⁷⁶⁷² 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 447672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584640).

447672 is an abundant number, since it is smaller than the sum of its proper divisors (721608).

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

447672 is a wasteful number, since it uses less digits than its factorization.

447672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 839 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 447672 is about 669.0829544982. The cubic root of 447672 is about 76.4985688997.

The spelling of 447672 in words is "four hundred forty-seven thousand, six hundred seventy-two".