445752 has 48 divisors (see below), whose sum is σ = 1244880. Its totient is φ = 144000.

The previous prime is 445747. The next prime is 445769. The reversal of 445752 is 257544.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 445752.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2877 + ... + 3027.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2⁴⁴⁵⁷⁵² 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 445752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622440).

445752 is an abundant number, since it is smaller than the sum of its proper divisors (799128).

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

445752 is a wasteful number, since it uses less digits than its factorization.

445752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 445752 is about 667.6466131121. The cubic root of 445752 is about 76.3890484380.

The spelling of 445752 in words is "four hundred forty-five thousand, seven hundred fifty-two".