230475728430 has 384 divisors, whose sum is σ = 680345205120. Its totient is φ = 55461888000.

The previous prime is 230475728429. The next prime is 230475728437. The reversal of 230475728430 is 34827574032.

230475728430 is a `hidden beast` number, since 2 + 3 + 0 + 47 + 572 + 8 + 4 + 30 = 666.

230475728430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230475728430² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230475728437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195152440 + ... + 195153620.

It is an arithmetic number, because the mean of its divisors is an integer number (1771732305).

Almost surely, 2^230475728430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230475728430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340172602560).

230475728430 is an abundant number, since it is smaller than the sum of its proper divisors (449869476690).

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

230475728430 is a wasteful number, since it uses less digits than its factorization.

230475728430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 230475728430 in words is "two hundred thirty billion, four hundred seventy-five million, seven hundred twenty-eight thousand, four hundred thirty".