444624 has 40 divisors (see below), whose sum is σ = 1175520. Its totient is φ = 144768.

The previous prime is 444623. The next prime is 444637. The reversal of 444624 is 426444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444594 and 444603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444623) 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, 2754 + ... + 2910.

It is an arithmetic number, because the mean of its divisors is an integer number (29388).

2⁴⁴⁴⁶²⁴ 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 444624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587760).

444624 is an abundant number, since it is smaller than the sum of its proper divisors (730896).

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

444624 is a wasteful number, since it uses less digits than its factorization.

444624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 444624 is about 666.8013197347. The cubic root of 444624 is about 76.3245584433.

The spelling of 444624 in words is "four hundred forty-four thousand, six hundred twenty-four".