415380401 has 2 divisors, whose sum is σ = 415380402. Its totient is φ = 415380400.

The previous prime is 415380379. The next prime is 415380457. The reversal of 415380401 is 104083514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 411116176 + 4264225 = 20276^2 + 2065^2 .

It is a cyclic number.

It is not a de Polignac number, because 415380401 - 2¹⁴ = 415364017 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (415380491) 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, 207690200 + 207690201.

It is an arithmetic number, because the mean of its divisors is an integer number (207690201).

Almost surely, 2^415380401 is an apocalyptic number.

It is an amenable number.

415380401 is a deficient number, since it is larger than the sum of its proper divisors (1).

415380401 is an equidigital number, since it uses as much as digits as its factorization.

415380401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 415380401 is about 20380.8832242374. The cubic root of 415380401 is about 746.1314285901.

The spelling of 415380401 in words is "four hundred fifteen million, three hundred eighty thousand, four hundred one".