445001220 has 144 divisors (see below), whose sum is σ = 1401319920. Its totient is φ = 114213888.

The previous prime is 445001149. The next prime is 445001237. The reversal of 445001220 is 22100544.

445001220 is a `hidden beast` number, since 44 + 500 + 122 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5008644 + 439992576 = 2238^2 + 20976^2 .

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 = 445001193 and 445001202.

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 47 ways as a sum of consecutive naturals, for example, 725634 + ... + 726246.

Almost surely, 2^445001220 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 445001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700659960).

445001220 is an abundant number, since it is smaller than the sum of its proper divisors (956318700).

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

445001220 is a wasteful number, since it uses less digits than its factorization.

445001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 445001220 is about 21095.0520264824. The cubic root of 445001220 is about 763.4613698430.

Adding to 445001220 its reverse (22100544), we get a palindrome (467101764).

The spelling of 445001220 in words is "four hundred forty-five million, one thousand, two hundred twenty".