234304400000 has 576 divisors, whose sum is σ = 661300174080. Its totient is φ = 82579200000.

The previous prime is 234304399997. The next prime is 234304400017. The reversal of 234304400000 is 4403432.

It is a happy number.

234304400000 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2274799949 + ... + 2274800051.

It is an arithmetic number, because the mean of its divisors is an integer number (1148090580).

Almost surely, 2^234304400000 is an apocalyptic number.

234304400000 is a gapful number since it is divisible by the number (20) 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 234304400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330650087040).

234304400000 is an abundant number, since it is smaller than the sum of its proper divisors (426995774080).

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

234304400000 is an equidigital number, since it uses as much as digits as its factorization.

234304400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 234304400000 its reverse (4403432), we get a palindrome (234308803432).

The spelling of 234304400000 in words is "two hundred thirty-four billion, three hundred four million, four hundred thousand".