444000 has 96 divisors (see below), whose sum is σ = 1493856. Its totient is φ = 115200.

The previous prime is 443999. The next prime is 444001. The reversal of 444000 is 444.

It is an interprime number because it is at equal distance from previous prime (443999) and next prime (444001).

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 (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11982 + ... + 12018.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2⁴⁴⁴⁰⁰⁰ is an apocalyptic number.

444000 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 444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928).

444000 is an abundant number, since it is smaller than the sum of its proper divisors (1049856).

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

444000 is a wasteful number, since it uses less digits than its factorization.

444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 444000 is about 666.3332499583. Note that the first 3 decimals coincide. The cubic root of 444000 is about 76.2888362585.

Adding to 444000 its reverse (444), we get a palindrome (444444).

Subtracting from 444000 its reverse (444), we obtain a square (443556 = 666²).

444000 divided by its reverse (444) gives a cube (1000 = 10³).

The spelling of 444000 in words is "four hundred forty-four thousand", and thus it is an iban number.