445221200 has 60 divisors (see below), whose sum is σ = 1089877788. Its totient is φ = 174720000.

The previous prime is 445221193. The next prime is 445221221. The reversal of 445221200 is 2122544.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14077504 + 431143696 = 3752^2 + 20764^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10700 + ... + 31700.

Almost surely, 2^445221200 is an apocalyptic number.

445221200 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 445221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544938894).

445221200 is an abundant number, since it is smaller than the sum of its proper divisors (644656588).

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

445221200 is a wasteful number, since it uses less digits than its factorization.

445221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21072 (or 21061 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 445221200 is about 21100.2654011745. The cubic root of 445221200 is about 763.5871511954.

Adding to 445221200 its reverse (2122544), we get a palindrome (447343744).

It can be divided in two parts, 4452 and 21200, that added together give a palindrome (25652).

The spelling of 445221200 in words is "four hundred forty-five million, two hundred twenty-one thousand, two hundred".