304020342400 has 192 divisors, whose sum is σ = 762798287160. Its totient is φ = 119715840000.

The previous prime is 304020342391. The next prime is 304020342433. The reversal of 304020342400 is 4243020403.

It can be written as a sum of positive squares in 12 ways, for example, as 10004800576 + 294015541824 = 100024^2 + 542232^2 .

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 23 ways as a sum of consecutive naturals, for example, 58496602 + ... + 58501798.

Almost surely, 2^304020342400 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 304020342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381399143580).

304020342400 is an abundant number, since it is smaller than the sum of its proper divisors (458777944760).

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

304020342400 is a wasteful number, since it uses less digits than its factorization.

304020342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5486 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 304020342400 its reverse (4243020403), we get a palindrome (308263362803).

The spelling of 304020342400 in words is "three hundred four billion, twenty million, three hundred forty-two thousand, four hundred".