444420 has 48 divisors (see below), whose sum is σ = 1384320. Its totient is φ = 118368.

The previous prime is 444403. The next prime is 444421. The reversal of 444420 is 24444.

It is a happy number.

444420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×444420³ = 263331031196664000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444393 and 444402.

It is not an unprimeable number, because it can be changed into a prime (444421) by changing a digit.

444420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (28840).

2⁴⁴⁴⁴²⁰ 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 444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692160).

444420 is an abundant number, since it is smaller than the sum of its proper divisors (939900).

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

444420 is a wasteful number, since it uses less digits than its factorization.

444420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 444420 is about 666.6483330812. The cubic root of 444420 is about 76.3128837161.

Adding to 444420 its reverse (24444), we get a palindrome (468864).

The spelling of 444420 in words is "four hundred forty-four thousand, four hundred twenty", and thus it is an iban number.