444200120 has 64 divisors (see below), whose sum is σ = 1230102720. Its totient is φ = 140580864.

The previous prime is 444200117. The next prime is 444200129. The reversal of 444200120 is 21002444.

444200120 = 7963² + 7964² + ... + 7969².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444200129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57377 + ... + 64656.

It is an arithmetic number, because the mean of its divisors is an integer number (19220355).

Almost surely, 2^444200120 is an apocalyptic number.

444200120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444200120 is an abundant number, since it is smaller than the sum of its proper divisors (785902600).

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

444200120 is a wasteful number, since it uses less digits than its factorization.

444200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122064 (or 122060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 444200120 is about 21076.0556082015. The cubic root of 444200120 is about 763.0029619005.

Adding to 444200120 its reverse (21002444), we get a palindrome (465202564).

The spelling of 444200120 in words is "four hundred forty-four million, two hundred thousand, one hundred twenty".