441225200 has 180 divisors, whose sum is σ = 1177578648. Its totient is φ = 158745600.

The previous prime is 441225199. The next prime is 441225229. The reversal of 441225200 is 2522144.

It is a happy number.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4123547 + ... + 4123653.

Almost surely, 2^441225200 is an apocalyptic number.

441225200 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 441225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588789324).

441225200 is an abundant number, since it is smaller than the sum of its proper divisors (736353448).

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

441225200 is a wasteful number, since it uses less digits than its factorization.

441225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 188 counting only the distinct ones).

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

The square root of 441225200 is about 21005.3612204123. The cubic root of 441225200 is about 761.2958041649.

Adding to 441225200 its reverse (2522144), we get a palindrome (443747344).

The spelling of 441225200 in words is "four hundred forty-one million, two hundred twenty-five thousand, two hundred".