230609000 has 128 divisors (see below), whose sum is σ = 573281280. Its totient is φ = 86688000.

The previous prime is 230608991. The next prime is 230609009. The reversal of 230609000 is 906032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230608991) and next prime (230609009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (230609009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332914 + ... + 1333086.

It is an arithmetic number, because the mean of its divisors is an integer number (4478760).

Almost surely, 2^230609000 is an apocalyptic number.

230609000 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 230609000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286640640).

230609000 is an abundant number, since it is smaller than the sum of its proper divisors (342672280).

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

230609000 is a wasteful number, since it uses less digits than its factorization.

230609000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 230609000 is about 15185.8157502322. The cubic root of 230609000 is about 613.2328587252.

The spelling of 230609000 in words is "two hundred thirty million, six hundred nine thousand".