444768 has 48 divisors (see below), whose sum is σ = 1206576. Its totient is φ = 143360.

The previous prime is 444767. The next prime is 444791. The reversal of 444768 is 867444.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3880 + ... + 3992.

It is an arithmetic number, because the mean of its divisors is an integer number (25137).

2⁴⁴⁴⁷⁶⁸ is an apocalyptic number.

444768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288).

444768 is an abundant number, since it is smaller than the sum of its proper divisors (761808).

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

444768 is a wasteful number, since it uses less digits than its factorization.

444768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 444768 is about 666.9092891841. The cubic root of 444768 is about 76.3327972774.

The spelling of 444768 in words is "four hundred forty-four thousand, seven hundred sixty-eight".