4200444 has 96 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1254528.

The previous prime is 4200439. The next prime is 4200451. The reversal of 4200444 is 4440024.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47152 + ... + 47240.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 2^4200444 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 4200444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

4200444 is an abundant number, since it is smaller than the sum of its proper divisors (7895556).

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

4200444 is a wasteful number, since it uses less digits than its factorization.

4200444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

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

The square root of 4200444 is about 2049.4984752373. The cubic root of 4200444 is about 161.3485498174.

Adding to 4200444 its reverse (4440024), we get a palindrome (8640468).

The spelling of 4200444 in words is "four million, two hundred thousand, four hundred forty-four".