415200413 has 2 divisors, whose sum is σ = 415200414. Its totient is φ = 415200412.

The previous prime is 415200377. The next prime is 415200419. The reversal of 415200413 is 314002514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310711129 + 104489284 = 17627^2 + 10222^2 .

It is a cyclic number.

It is not a de Polignac number, because 415200413 - 2⁶ = 415200349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415200419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207600206 + 207600207.

It is an arithmetic number, because the mean of its divisors is an integer number (207600207).

Almost surely, 2^415200413 is an apocalyptic number.

It is an amenable number.

415200413 is a deficient number, since it is larger than the sum of its proper divisors (1).

415200413 is an equidigital number, since it uses as much as digits as its factorization.

415200413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 415200413 is about 20376.4671373622. The cubic root of 415200413 is about 746.0236445725.

Adding to 415200413 its reverse (314002514), we get a palindrome (729202927).

The spelling of 415200413 in words is "four hundred fifteen million, two hundred thousand, four hundred thirteen".