441693 has 40 divisors (see below), whose sum is σ = 813120. Its totient is φ = 233280.

The previous prime is 441667. The next prime is 441697. The reversal of 441693 is 396144.

It is not a de Polignac number, because 441693 - 2¹⁰ = 440669 is a prime.

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

It is a d-powerful number, because it can be written as 4⁵ + 4⁹ + 6⁴ + 1 + 9² + 3¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10753 + ... + 10793.

It is an arithmetic number, because the mean of its divisors is an integer number (20328).

2⁴⁴¹⁶⁹³ is an apocalyptic number.

It is an amenable number.

441693 is a deficient number, since it is larger than the sum of its proper divisors (371427).

441693 is a wasteful number, since it uses less digits than its factorization.

441693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 70 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 441693 is about 664.5998796268. The cubic root of 441693 is about 76.1564758575.

The spelling of 441693 in words is "four hundred forty-one thousand, six hundred ninety-three".