420444 has 48 divisors (see below), whose sum is σ = 1159200. Its totient is φ = 131328.

The previous prime is 420439. The next prime is 420457. The reversal of 420444 is 444024.

It is a happy number.

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

420444 is a modest number, since divided by 444 gives 420 as remainder.

It is a congruent number.

It is an unprimeable number.

420444 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, 1722 + ... + 1950.

It is an arithmetic number, because the mean of its divisors is an integer number (24150).

2⁴²⁰⁴⁴⁴ 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 420444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579600).

420444 is an abundant number, since it is smaller than the sum of its proper divisors (738756).

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

420444 is a wasteful number, since it uses less digits than its factorization.

420444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

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

The square root of 420444 is about 648.4165327935. The cubic root of 420444 is about 74.9151039384.

Adding to 420444 its reverse (444024), we get a palindrome (864468).

The spelling of 420444 in words is "four hundred twenty thousand, four hundred forty-four", and thus it is an iban number.