444141320 has 64 divisors (see below), whose sum is σ = 1209271680. Its totient is φ = 143318016.

The previous prime is 444141317. The next prime is 444141323. The reversal of 444141320 is 23141444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444141317) and next prime (444141323).

It is not an unprimeable number, because it can be changed into a prime (444141323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41894 + ... + 51413.

It is an arithmetic number, because the mean of its divisors is an integer number (18894870).

Almost surely, 2^444141320 is an apocalyptic number.

444141320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444141320 is an abundant number, since it is smaller than the sum of its proper divisors (765130360).

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

444141320 is a wasteful number, since it uses less digits than its factorization.

444141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93342 (or 93338 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 444141320 is about 21074.6606141119. The cubic root of 444141320 is about 762.9692934765.

Adding to 444141320 its reverse (23141444), we get a palindrome (467282764).

The spelling of 444141320 in words is "four hundred forty-four million, one hundred forty-one thousand, three hundred twenty".