1230400305 has 24 divisors (see below), whose sum is σ = 2135194152. Its totient is φ = 655444224.

The previous prime is 1230400289. The next prime is 1230400307. The reversal of 1230400305 is 5030040321.

1230400305 is a `hidden beast` number, since 1 + 230 + 400 + 30 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 452157696 + 778242609 = 21264^2 + 27897^2 .

It is not a de Polignac number, because 1230400305 - 2⁴ = 1230400289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1230400307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23877 + ... + 55053.

It is an arithmetic number, because the mean of its divisors is an integer number (88966423).

Almost surely, 2^1230400305 is an apocalyptic number.

1230400305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1230400305 is a deficient number, since it is larger than the sum of its proper divisors (904793847).

1230400305 is a wasteful number, since it uses less digits than its factorization.

1230400305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32065 (or 32062 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1230400305 is about 35077.0623770007. The cubic root of 1230400305 is about 1071.5574910395.

Adding to 1230400305 its reverse (5030040321), we get a palindrome (6260440626).

The spelling of 1230400305 in words is "one billion, two hundred thirty million, four hundred thousand, three hundred five".