230090479200 has 504 divisors, whose sum is σ = 865019978928. Its totient is φ = 59693552640.

The previous prime is 230090479193. The next prime is 230090479249. The reversal of 230090479200 is 2974090032.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 21573069 + ... + 21583731.

It is an arithmetic number, because the mean of its divisors is an integer number (1716309482).

Almost surely, 2^230090479200 is an apocalyptic number.

230090479200 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 230090479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432509989464).

230090479200 is an abundant number, since it is smaller than the sum of its proper divisors (634929499728).

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

230090479200 is a wasteful number, since it uses less digits than its factorization.

230090479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10738 (or 10710 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 230090479200 in words is "two hundred thirty billion, ninety million, four hundred seventy-nine thousand, two hundred".