230752000 has 72 divisors (see below), whose sum is σ = 574911792. Its totient is φ = 92288000.

The previous prime is 230751929. The next prime is 230752001. The reversal of 230752000 is 257032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230752001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28395 + ... + 35605.

It is an arithmetic number, because the mean of its divisors is an integer number (7984886).

Almost surely, 2^230752000 is an apocalyptic number.

230752000 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 230752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287455896).

230752000 is an abundant number, since it is smaller than the sum of its proper divisors (344159792).

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

230752000 is an frugal number, since it uses more digits than its factorization.

230752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 230752000 is about 15190.5233616225. The cubic root of 230752000 is about 613.3595871980.

The spelling of 230752000 in words is "two hundred thirty million, seven hundred fifty-two thousand".