230394528 has 288 divisors, whose sum is σ = 825552000. Its totient is φ = 59332608.

The previous prime is 230394509. The next prime is 230394533. The reversal of 230394528 is 825493032.

230394528 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230394492 and 230394501.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1546198 + ... + 1546346.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2^230394528 is an apocalyptic number.

230394528 is a gapful number since it is divisible by the number (28) 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 230394528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412776000).

230394528 is an abundant number, since it is smaller than the sum of its proper divisors (595157472).

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

230394528 is a wasteful number, since it uses less digits than its factorization.

230394528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 230394528 is about 15178.7525179113. The cubic root of 230394528 is about 613.0426925833.

The spelling of 230394528 in words is "two hundred thirty million, three hundred ninety-four thousand, five hundred twenty-eight".