444234240 has 160 divisors (see below), whose sum is σ = 1578202560. Its totient is φ = 118444032.

The previous prime is 444234239. The next prime is 444234253. The reversal of 444234240 is 42432444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 65907 + ... + 72333.

It is an arithmetic number, because the mean of its divisors is an integer number (9863766).

Almost surely, 2^444234240 is an apocalyptic number.

444234240 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 444234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789101280).

444234240 is an abundant number, since it is smaller than the sum of its proper divisors (1133968320).

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

444234240 is an equidigital number, since it uses as much as digits as its factorization.

444234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 444234240 is about 21076.8650420313. The cubic root of 444234240 is about 763.0224973856.

Adding to 444234240 its reverse (42432444), we get a palindrome (486666684).

The spelling of 444234240 in words is "four hundred forty-four million, two hundred thirty-four thousand, two hundred forty".