304444400000 has 384 divisors, whose sum is σ = 824617221120. Its totient is φ = 111283200000.

The previous prime is 304444399981. The next prime is 304444400003. The reversal of 304444400000 is 4444403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304444400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660399770 + ... + 660400230.

It is an arithmetic number, because the mean of its divisors is an integer number (2147440680).

Almost surely, 2^304444400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304444400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412308610560).

304444400000 is an abundant number, since it is smaller than the sum of its proper divisors (520172821120).

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

304444400000 is an equidigital number, since it uses as much as digits as its factorization.

304444400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 304444400000 its reverse (4444403), we get a palindrome (304448844403).

The spelling of 304444400000 in words is "three hundred four billion, four hundred forty-four million, four hundred thousand".