441968 has 20 divisors (see below), whose sum is σ = 894288. Its totient is φ = 211200.

The previous prime is 441953. The next prime is 441971. The reversal of 441968 is 869144.

441968 = T₂₂₇ + T₂₂₈ + ... + T₂₄₂.

It is a congruent number.

It is an unprimeable number.

441968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 233 + ... + 968.

2⁴⁴¹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

441968 is an abundant number, since it is smaller than the sum of its proper divisors (452320).

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

441968 is a wasteful number, since it uses less digits than its factorization.

441968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 441968 is about 664.8067388347. The cubic root of 441968 is about 76.1722776972.

The spelling of 441968 in words is "four hundred forty-one thousand, nine hundred sixty-eight".