446752 has 24 divisors (see below), whose sum is σ = 919296. Its totient is φ = 213312.

The previous prime is 446731. The next prime is 446753. The reversal of 446752 is 257644.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 4⁸ + 4⁹ + 7⁶ + 6⁴ + 5³ + 2 .

It is a self number, because there is not a number n which added to its sum of digits gives 446752.

It is not an unprimeable number, because it can be changed into a prime (446753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 433 + ... + 1039.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2⁴⁴⁶⁷⁵² 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 446752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

446752 is an abundant number, since it is smaller than the sum of its proper divisors (472544).

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

446752 is a wasteful number, since it uses less digits than its factorization.

446752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 446752 is about 668.3950927408. The cubic root of 446752 is about 76.4461295023.

The spelling of 446752 in words is "four hundred forty-six thousand, seven hundred fifty-two".