230354510400 has 504 divisors, whose sum is σ = 984951730880. Its totient is φ = 49880862720.

The previous prime is 230354510383. The next prime is 230354510437. The reversal of 230354510400 is 4015453032.

It is a tau number, because it is divible by the number of its divisors (504).

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, 1855062 + ... + 1975338.

Almost surely, 2^230354510400 is an apocalyptic number.

230354510400 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 230354510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492475865440).

230354510400 is an abundant number, since it is smaller than the sum of its proper divisors (754597220480).

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

230354510400 is a wasteful number, since it uses less digits than its factorization.

230354510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120331 (or 120313 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 230354510400 its reverse (4015453032), we get a palindrome (234369963432).

The spelling of 230354510400 in words is "two hundred thirty billion, three hundred fifty-four million, five hundred ten thousand, four hundred".