230939424000 has 864 divisors, whose sum is σ = 912979057536. Its totient is φ = 57928089600.

The previous prime is 230939423993. The next prime is 230939424007. The reversal of 230939424000 is 424939032.

230939424000 is a `hidden beast` number, since 23 + 0 + 9 + 394 + 240 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230939423993) and next prime (230939424007).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230939424007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132191127 + ... + 132192873.

It is an arithmetic number, because the mean of its divisors is an integer number (1056688724).

Almost surely, 2^230939424000 is an apocalyptic number.

230939424000 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 230939424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456489528768).

230939424000 is an abundant number, since it is smaller than the sum of its proper divisors (682039633536).

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

230939424000 is an equidigital number, since it uses as much as digits as its factorization.

230939424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 230939424000 in words is "two hundred thirty billion, nine hundred thirty-nine million, four hundred twenty-four thousand".