444960 has 96 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 117504.

The previous prime is 444953. The next prime is 444967. The reversal of 444960 is 69444.

It is an interprime number because it is at equal distance from previous prime (444953) and next prime (444967).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 444960.

It is not an unprimeable number, because it can be changed into a prime (444967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4269 + ... + 4371.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2⁴⁴⁴⁹⁶⁰ is an apocalyptic number.

444960 is a gapful number since it is divisible by the number (40) 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 444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

444960 is an abundant number, since it is smaller than the sum of its proper divisors (1127520).

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

444960 is a wasteful number, since it uses less digits than its factorization.

444960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 444960 is about 667.0532212650. The cubic root of 444960 is about 76.3437796238.

The spelling of 444960 in words is "four hundred forty-four thousand, nine hundred sixty".