442752 has 32 divisors (see below), whose sum is σ = 1177080. Its totient is φ = 147456.

The previous prime is 442747. The next prime is 442753. The reversal of 442752 is 257244.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 193 + ... + 960.

2⁴⁴²⁷⁵² is an apocalyptic number.

It is an amenable number.

442752 is an abundant number, since it is smaller than the sum of its proper divisors (734328).

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

442752 is a wasteful number, since it uses less digits than its factorization.

442752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1158 counting only the distinct ones).

The product of its digits is 2240, while the sum is 24.

The square root of 442752 is about 665.3961226217. The cubic root of 442752 is about 76.2172913550.

Adding to 442752 its reverse (257244), we get a palindrome (699996).

The spelling of 442752 in words is "four hundred forty-two thousand, seven hundred fifty-two".