444096 has 56 divisors (see below), whose sum is σ = 1310640. Its totient is φ = 147456.

The previous prime is 444089. The next prime is 444109. The reversal of 444096 is 690444.

It is a super-3 number, since 3×444096³ = 262755514333790208, which contains 333 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 444096.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1600 + ... + 1856.

2⁴⁴⁴⁰⁹⁶ 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 444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655320).

444096 is an abundant number, since it is smaller than the sum of its proper divisors (866544).

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

444096 is a wasteful number, since it uses less digits than its factorization.

444096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

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

The square root of 444096 is about 666.4052820919. The cubic root of 444096 is about 76.2943341568.

It can be divided in two parts, 4 and 44096, that added together give a square (44100 = 210²).

The spelling of 444096 in words is "four hundred forty-four thousand, ninety-six".