444430204400 has 480 divisors, whose sum is σ = 1401730283520. Its totient is φ = 131403202560.

The previous prime is 444430204307. The next prime is 444430204409. The reversal of 444430204400 is 4402034444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444430204409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86010617 + ... + 86015783.

It is an arithmetic number, because the mean of its divisors is an integer number (2920271424).

Almost surely, 2^444430204400 is an apocalyptic number.

444430204400 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 444430204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700865141760).

444430204400 is an abundant number, since it is smaller than the sum of its proper divisors (957300079120).

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

444430204400 is a wasteful number, since it uses less digits than its factorization.

444430204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 444430204400 its reverse (4402034444), we get a palindrome (448832238844).

The spelling of 444430204400 in words is "four hundred forty-four billion, four hundred thirty million, two hundred four thousand, four hundred".