444422160 has 960 divisors, whose sum is σ = 2137363200. Its totient is φ = 83607552.

The previous prime is 444422159. The next prime is 444422183. The reversal of 444422160 is 61224444.

It is a happy number.

444422160 is a `hidden beast` number, since 4 + 4 + 442 + 216 + 0 = 666.

It is a super-3 number, since 3×444422160³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23390631 + ... + 23390649.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^444422160 is an apocalyptic number.

444422160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444422160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068681600).

444422160 is an abundant number, since it is smaller than the sum of its proper divisors (1692941040).

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

444422160 is a wasteful number, since it uses less digits than its factorization.

444422160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 444422160 is about 21081.3225391577. The cubic root of 444422160 is about 763.1300734952.

The spelling of 444422160 in words is "four hundred forty-four million, four hundred twenty-two thousand, one hundred sixty".