230505000 has 240 divisors, whose sum is σ = 797744640. Its totient is φ = 55440000.

The previous prime is 230504999. The next prime is 230505001. The reversal of 230505000 is 505032.

230505000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230504999) and next prime (230505001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (230505001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1814937 + ... + 1815063.

It is an arithmetic number, because the mean of its divisors is an integer number (3323936).

Almost surely, 2^230505000 is an apocalyptic number.

230505000 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 230505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398872320).

230505000 is an abundant number, since it is smaller than the sum of its proper divisors (567239640).

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

230505000 is a wasteful number, since it uses less digits than its factorization.

230505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 230505000 is about 15182.3911160265. The cubic root of 230505000 is about 613.1406596538.

The spelling of 230505000 in words is "two hundred thirty million, five hundred five thousand".