441936 has 100 divisors (see below), whose sum is σ = 1440384. Its totient is φ = 129600.

The previous prime is 441923. The next prime is 441937. The reversal of 441936 is 639144.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441937) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14241 + ... + 14271.

2⁴⁴¹⁹³⁶ 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 441936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720192).

441936 is an abundant number, since it is smaller than the sum of its proper divisors (998448).

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

441936 is a wasteful number, since it uses less digits than its factorization.

441936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

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

The square root of 441936 is about 664.7826712543. The cubic root of 441936 is about 76.1704392747.

It can be divided in two parts, 44 and 1936, that multiplied together give a cube (85184 = 44³).

The spelling of 441936 in words is "four hundred forty-one thousand, nine hundred thirty-six".