230267289600 has 450 divisors, whose sum is σ = 838391012966. Its totient is φ = 60397977600.

The previous prime is 230267289547. The next prime is 230267289631. The reversal of 230267289600 is 6982762032.

230267289600 is a `hidden beast` number, since 2 + 30 + 2 + 6 + 7 + 2 + 8 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 603979776 + 229663309824 = 24576^2 + 479232^2 .

It is a tau number, because it is divible by the number of its divisors (450).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3774873570 + ... + 3774873630.

Almost surely, 2^230267289600 is an apocalyptic number.

230267289600 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 230267289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419195506483).

230267289600 is an abundant number, since it is smaller than the sum of its proper divisors (608123723366).

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

230267289600 is an frugal number, since it uses more digits than its factorization.

230267289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 230267289600 in words is "two hundred thirty billion, two hundred sixty-seven million, two hundred eighty-nine thousand, six hundred".