230424000 has 112 divisors (see below), whose sum is σ = 760939296. Its totient is φ = 61440000.

The previous prime is 230423957. The next prime is 230424011. The reversal of 230424000 is 424032.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19200 + ... + 28800.

Almost surely, 2^230424000 is an apocalyptic number.

230424000 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 230424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380469648).

230424000 is an abundant number, since it is smaller than the sum of its proper divisors (530515296).

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

230424000 is an equidigital number, since it uses as much as digits as its factorization.

230424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9631 (or 9611 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 230424000 is about 15179.7233176366. The cubic root of 230424000 is about 613.0688315489.

Adding to 230424000 its reverse (424032), we get a palindrome (230848032).

The spelling of 230424000 in words is "two hundred thirty million, four hundred twenty-four thousand".