300000413 has 2 divisors, whose sum is σ = 300000414. Its totient is φ = 300000412.

The previous prime is 300000397. The next prime is 300000419. The reversal of 300000413 is 314000003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 280964644 + 19035769 = 16762^2 + 4363^2 .

It is an emirp because it is prime and its reverse (314000003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 300000413 - 2⁴ = 300000397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300000394 and 300000403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300000419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150000206 + 150000207.

It is an arithmetic number, because the mean of its divisors is an integer number (150000207).

Almost surely, 2^300000413 is an apocalyptic number.

It is an amenable number.

300000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

300000413 is an equidigital number, since it uses as much as digits as its factorization.

300000413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 300000413 is about 17320.5199979677. The cubic root of 300000413 is about 669.4332572774.

Adding to 300000413 its reverse (314000003), we get a palindrome (614000416).

The spelling of 300000413 in words is "three hundred million, four hundred thirteen", and thus it is an aban number.