441972 has 18 divisors (see below), whose sum is σ = 1117298. Its totient is φ = 147312.

The previous prime is 441971. The next prime is 442003. The reversal of 441972 is 279144.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 285156 + 156816 = 534^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6103 + ... + 6174.

2⁴⁴¹⁹⁷² is an apocalyptic number.

It is an amenable number.

441972 is an abundant number, since it is smaller than the sum of its proper divisors (675326).

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

441972 is a wasteful number, since it uses less digits than its factorization.

441972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12287 (or 12282 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 441972 is about 664.8097472210. The cubic root of 441972 is about 76.1725074938.

It can be divided in two parts, 44 and 1972, that multiplied together give a palindrome (86768).

The spelling of 441972 in words is "four hundred forty-one thousand, nine hundred seventy-two".