415956041 has 2 divisors, whose sum is σ = 415956042. Its totient is φ = 415956040.

The previous prime is 415955993. The next prime is 415956043. The reversal of 415956041 is 140659514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 415956025 + 16 = 20395^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 415956041 - 2¹⁰ = 415955017 is a prime.

Together with 415956043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 415955992 and 415956010.

It is not a weakly prime, because it can be changed into another prime (415956043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207978020 + 207978021.

It is an arithmetic number, because the mean of its divisors is an integer number (207978021).

Almost surely, 2^415956041 is an apocalyptic number.

It is an amenable number.

415956041 is a deficient number, since it is larger than the sum of its proper divisors (1).

415956041 is an equidigital number, since it uses as much as digits as its factorization.

415956041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 415956041 is about 20395.0003922530. Note that the first 3 decimals coincide. The cubic root of 415956041 is about 746.4759359728.

The spelling of 415956041 in words is "four hundred fifteen million, nine hundred fifty-six thousand, forty-one".