444002220 has 144 divisors (see below), whose sum is σ = 1395095520. Its totient is φ = 114213888.

The previous prime is 444002201. The next prime is 444002249. The reversal of 444002220 is 22200444.

444002220 is a `hidden beast` number, since 4 + 440 + 0 + 2 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 444002193 and 444002202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085376 + ... + 1085784.

Almost surely, 2^444002220 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 444002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697547760).

444002220 is an abundant number, since it is smaller than the sum of its proper divisors (951093300).

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

444002220 is a wasteful number, since it uses less digits than its factorization.

444002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 619 counting only the distinct ones).

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

The square root of 444002220 is about 21071.3601839084. The cubic root of 444002220 is about 762.8896340638.

Adding to 444002220 its reverse (22200444), we get a palindrome (466202664).

The spelling of 444002220 in words is "four hundred forty-four million, two thousand, two hundred twenty".