446272 has 28 divisors (see below), whose sum is σ = 934720. Its totient is φ = 210816.

The previous prime is 446263. The next prime is 446273. The reversal of 446272 is 272644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446273) by changing a digit.

446272 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 3 ways as a sum of consecutive naturals, for example, 1033 + ... + 1399.

2⁴⁴⁶²⁷² 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 446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467360).

446272 is an abundant number, since it is smaller than the sum of its proper divisors (488448).

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

446272 is a wasteful number, since it uses less digits than its factorization.

446272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its digits is 2688, while the sum is 25.

The square root of 446272 is about 668.0359271776. The cubic root of 446272 is about 76.4187412335.

The spelling of 446272 in words is "four hundred forty-six thousand, two hundred seventy-two".