230367984000 has 1024 divisors, whose sum is σ = 960585799680. Its totient is φ = 47443968000.

The previous prime is 230367983971. The next prime is 230367984013. The reversal of 230367984000 is 489763032.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 580271802 + ... + 580272198.

It is an arithmetic number, because the mean of its divisors is an integer number (938072070).

Almost surely, 2^230367984000 is an apocalyptic number.

230367984000 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 230367984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480292899840).

230367984000 is an abundant number, since it is smaller than the sum of its proper divisors (730217815680).

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

230367984000 is a wasteful number, since it uses less digits than its factorization.

230367984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 230367984000 in words is "two hundred thirty billion, three hundred sixty-seven million, nine hundred eighty-four thousand".