230408354880 has 2016 divisors, whose sum is σ = 1024486444800. Its totient is φ = 47103344640.

The previous prime is 230408354851. The next prime is 230408354909. The reversal of 230408354880 is 88453804032.

230408354880 is a `hidden beast` number, since 23 + 0 + 4 + 0 + 8 + 3 + 548 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (230408354851) and next prime (230408354909).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2588857876 + ... + 2588857964.

It is an arithmetic number, because the mean of its divisors is an integer number (508177800).

Almost surely, 2^230408354880 is an apocalyptic number.

230408354880 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 230408354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512243222400).

230408354880 is an abundant number, since it is smaller than the sum of its proper divisors (794078089920).

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

230408354880 is a wasteful number, since it uses less digits than its factorization.

230408354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 230408354880 in words is "two hundred thirty billion, four hundred eight million, three hundred fifty-four thousand, eight hundred eighty".