230364000 has 336 divisors, whose sum is σ = 859360320. Its totient is φ = 60652800.

The previous prime is 230363977. The next prime is 230364011. The reversal of 230364000 is 463032.

230364000 is a `hidden beast` number, since 23 + 0 + 3 + 640 + 0 + 0 = 666.

230364000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2915961 + ... + 2916039.

It is an arithmetic number, because the mean of its divisors is an integer number (2557620).

Almost surely, 2^230364000 is an apocalyptic number.

230364000 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 230364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429680160).

230364000 is an abundant number, since it is smaller than the sum of its proper divisors (628996320).

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

230364000 is an frugal number, since it uses more digits than its factorization.

230364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230364000 is about 15177.7468683596. The cubic root of 230364000 is about 613.0156146920.

The spelling of 230364000 in words is "two hundred thirty million, three hundred sixty-four thousand".