446472 has 80 divisors (see below), whose sum is σ = 1372140. Its totient is φ = 134784.

The previous prime is 446461. The next prime is 446473. The reversal of 446472 is 274644.

It can be written as a sum of positive squares in 2 ways, for example, as 443556 + 2916 = 666^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (5376) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (446473) by changing a digit.

446472 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 19 ways as a sum of consecutive naturals, for example, 8398 + ... + 8450.

2⁴⁴⁶⁴⁷² 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 446472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686070).

446472 is an abundant number, since it is smaller than the sum of its proper divisors (925668).

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

446472 is a wasteful number, since it uses less digits than its factorization.

446472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 446472 is about 668.1856029577. The cubic root of 446472 is about 76.4301553977.

The spelling of 446472 in words is "four hundred forty-six thousand, four hundred seventy-two".