230824512 has 168 divisors, whose sum is σ = 706221600. Its totient is φ = 73923840.

The previous prime is 230824499. The next prime is 230824513. The reversal of 230824512 is 215428032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230824513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1660539 + ... + 1660677.

It is an arithmetic number, because the mean of its divisors is an integer number (4203700).

Almost surely, 2^230824512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230824512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353110800).

230824512 is an abundant number, since it is smaller than the sum of its proper divisors (475397088).

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

230824512 is a wasteful number, since it uses less digits than its factorization.

230824512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 230824512 is about 15192.9099253566. The cubic root of 230824512 is about 613.4238282771.

The spelling of 230824512 in words is "two hundred thirty million, eight hundred twenty-four thousand, five hundred twelve".