415478561 has 2 divisors, whose sum is σ = 415478562. Its totient is φ = 415478560.

The previous prime is 415478537. The next prime is 415478573. The reversal of 415478561 is 165874514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413878336 + 1600225 = 20344^2 + 1265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-415478561 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (415478761) 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, 207739280 + 207739281.

It is an arithmetic number, because the mean of its divisors is an integer number (207739281).

Almost surely, 2^415478561 is an apocalyptic number.

It is an amenable number.

415478561 is a deficient number, since it is larger than the sum of its proper divisors (1).

415478561 is an equidigital number, since it uses as much as digits as its factorization.

415478561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 134400, while the sum is 41.

The square root of 415478561 is about 20383.2912209977. The cubic root of 415478561 is about 746.1901976063.

The spelling of 415478561 in words is "four hundred fifteen million, four hundred seventy-eight thousand, five hundred sixty-one".