230305444000 has 48 divisors (see below), whose sum is σ = 565860485736. Its totient is φ = 92122176000.

The previous prime is 230305443971. The next prime is 230305444007. The reversal of 230305444000 is 444503032.

It can be written as a sum of positive squares in 4 ways, for example, as 105913797136 + 124391646864 = 325444^2 + 352692^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (230305444007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28784181 + ... + 28792180.

Almost surely, 2^230305444000 is an apocalyptic number.

230305444000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230305444000 is an abundant number, since it is smaller than the sum of its proper divisors (335555041736).

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

230305444000 is an equidigital number, since it uses as much as digits as its factorization.

230305444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57576386 (or 57576368 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 230305444000 its reverse (444503032), we get a palindrome (230749947032).

The spelling of 230305444000 in words is "two hundred thirty billion, three hundred five million, four hundred forty-four thousand".