415348961 has 2 divisors, whose sum is σ = 415348962. Its totient is φ = 415348960.

The previous prime is 415348919. The next prime is 415349003. The reversal of 415348961 is 169843514.

It is a balanced prime because it is at equal distance from previous prime (415348919) and next prime (415349003).

It can be written as a sum of positive squares in only one way, i.e., 258598561 + 156750400 = 16081^2 + 12520^2 .

It is a cyclic number.

It is not a de Polignac number, because 415348961 - 2¹⁰ = 415347937 is a prime.

It is not a weakly prime, because it can be changed into another prime (415348361) 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, 207674480 + 207674481.

It is an arithmetic number, because the mean of its divisors is an integer number (207674481).

Almost surely, 2^415348961 is an apocalyptic number.

It is an amenable number.

415348961 is a deficient number, since it is larger than the sum of its proper divisors (1).

415348961 is an equidigital number, since it uses as much as digits as its factorization.

415348961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 41.

The square root of 415348961 is about 20380.1118986133. Note that the first 3 decimals coincide. The cubic root of 415348961 is about 746.1126033045.

The spelling of 415348961 in words is "four hundred fifteen million, three hundred forty-eight thousand, nine hundred sixty-one".