304400096 has 288 divisors, whose sum is σ = 876572928. Its totient is φ = 100638720.

The previous prime is 304400087. The next prime is 304400099. The reversal of 304400096 is 690004403.

304400096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304400099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7079051 + ... + 7079093.

It is an arithmetic number, because the mean of its divisors is an integer number (3043656).

Almost surely, 2^304400096 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 304400096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438286464).

304400096 is an abundant number, since it is smaller than the sum of its proper divisors (572172832).

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

304400096 is a wasteful number, since it uses less digits than its factorization.

304400096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 304400096 is about 17447.0655412307. The cubic root of 304400096 is about 672.6899329475.

Adding to 304400096 its reverse (690004403), we get a palindrome (994404499).

The spelling of 304400096 in words is "three hundred four million, four hundred thousand, ninety-six".