413878301 has 2 divisors, whose sum is σ = 413878302. Its totient is φ = 413878300.

The previous prime is 413878291. The next prime is 413878321. The reversal of 413878301 is 103878314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 405982201 + 7896100 = 20149^2 + 2810^2 .

It is a cyclic number.

It is not a de Polignac number, because 413878301 - 2⁶ = 413878237 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413878321) 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, 206939150 + 206939151.

It is an arithmetic number, because the mean of its divisors is an integer number (206939151).

Almost surely, 2^413878301 is an apocalyptic number.

It is an amenable number.

413878301 is a deficient number, since it is larger than the sum of its proper divisors (1).

413878301 is an equidigital number, since it uses as much as digits as its factorization.

413878301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 413878301 is about 20343.9991397955. Note that the first 3 decimals coincide. The cubic root of 413878301 is about 745.2309546253.

Adding to 413878301 its sum of digits (35), we get a square (413878336 = 20344²).

The spelling of 413878301 in words is "four hundred thirteen million, eight hundred seventy-eight thousand, three hundred one".