415345321 has 2 divisors, whose sum is σ = 415345322. Its totient is φ = 415345320.

The previous prime is 415345303. The next prime is 415345331. The reversal of 415345321 is 123543514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 297079696 + 118265625 = 17236^2 + 10875^2 .

It is a cyclic number.

It is not a de Polignac number, because 415345321 - 2⁷ = 415345193 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 415345321.

It is not a weakly prime, because it can be changed into another prime (415345331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207672660 + 207672661.

It is an arithmetic number, because the mean of its divisors is an integer number (207672661).

Almost surely, 2^415345321 is an apocalyptic number.

It is an amenable number.

415345321 is a deficient number, since it is larger than the sum of its proper divisors (1).

415345321 is an equidigital number, since it uses as much as digits as its factorization.

415345321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7200, while the sum is 28.

The square root of 415345321 is about 20380.0225956695. The cubic root of 415345321 is about 746.1104237254.

Adding to 415345321 its reverse (123543514), we get a palindrome (538888835).

The spelling of 415345321 in words is "four hundred fifteen million, three hundred forty-five thousand, three hundred twenty-one".