230043408480 has 480 divisors, whose sum is σ = 823139102016. Its totient is φ = 60499685376.

The previous prime is 230043408403. The next prime is 230043408499. The reversal of 230043408480 is 84804340032.

230043408480 is a `hidden beast` number, since 2 + 300 + 4 + 340 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×230043408480² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 339797902 + ... + 339798578.

Almost surely, 2^230043408480 is an apocalyptic number.

230043408480 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 230043408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411569551008).

230043408480 is an abundant number, since it is smaller than the sum of its proper divisors (593095693536).

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

230043408480 is a wasteful number, since it uses less digits than its factorization.

230043408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 230043408480 in words is "two hundred thirty billion, forty-three million, four hundred eight thousand, four hundred eighty".