444101220 has 72 divisors (see below), whose sum is σ = 1357784064. Its totient is φ = 117488448.

The previous prime is 444101219. The next prime is 444101233. The reversal of 444101220 is 22101444.

444101220 is a `hidden beast` number, since 4 + 441 + 0 + 1 + 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 = 444101193 and 444101202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13147 + ... + 32573.

It is an arithmetic number, because the mean of its divisors is an integer number (18858112).

Almost surely, 2^444101220 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 444101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678892032).

444101220 is an abundant number, since it is smaller than the sum of its proper divisors (913682844).

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

444101220 is a wasteful number, since it uses less digits than its factorization.

444101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19569 (or 19564 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 444101220 is about 21073.7092131404. The cubic root of 444101220 is about 762.9463308232.

Adding to 444101220 its reverse (22101444), we get a palindrome (466202664).

The spelling of 444101220 in words is "four hundred forty-four million, one hundred one thousand, two hundred twenty".