230861030400 has 2673 divisors, whose sum is σ = 1144459622943. Its totient is φ = 44281036800.

The previous prime is 230861030377. The next prime is 230861030417. The reversal of 230861030400 is 4030168032.

It is a happy number.

The square root of 230861030400 is 480480.

It is a perfect power (a square), and thus also a powerful number.

230861030400 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 610 + 3 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59504772096 + 171356258304 = 243936^2 + 413952^2 .

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 242 ways as a sum of consecutive naturals, for example, 17758540794 + ... + 17758540806.

Almost surely, 2^230861030400 is an apocalyptic number.

230861030400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

230861030400 is the 480480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230861030400

230861030400 is an abundant number, since it is smaller than the sum of its proper divisors (913598592543).

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

230861030400 is a wasteful number, since it uses less digits than its factorization.

230861030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 230861030400 its reverse (4030168032), we get a palindrome (234891198432).

The spelling of 230861030400 in words is "two hundred thirty billion, eight hundred sixty-one million, thirty thousand, four hundred".