444911220 has 144 divisors (see below), whose sum is σ = 1530023040. Its totient is φ = 103742208.

The previous prime is 444911219. The next prime is 444911221. The reversal of 444911220 is 22119444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444911219) and next prime (444911221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444911221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39457 + ... + 49463.

It is an arithmetic number, because the mean of its divisors is an integer number (10625160).

Almost surely, 2^444911220 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 444911220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765011520).

444911220 is an abundant number, since it is smaller than the sum of its proper divisors (1085111820).

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

444911220 is a wasteful number, since it uses less digits than its factorization.

444911220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10054 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 444911220 is about 21092.9187169533. The cubic root of 444911220 is about 763.4098972081.

The spelling of 444911220 in words is "four hundred forty-four million, nine hundred eleven thousand, two hundred twenty".