407947041 has 12 divisors (see below), whose sum is σ = 591387732. Its totient is φ = 270981216.

The previous prime is 407947039. The next prime is 407947049. The reversal of 407947041 is 140749704.

It can be written as a sum of positive squares in 2 ways, for example, as 167573025 + 240374016 = 12945^2 + 15504^2 .

It is not a de Polignac number, because 407947041 - 2¹ = 407947039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 407946987 and 407947005.

It is not an unprimeable number, because it can be changed into a prime (407947049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79326 + ... + 84311.

It is an arithmetic number, because the mean of its divisors is an integer number (49282311).

Almost surely, 2^407947041 is an apocalyptic number.

It is an amenable number.

407947041 is a deficient number, since it is larger than the sum of its proper divisors (183440691).

407947041 is a wasteful number, since it uses less digits than its factorization.

407947041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163920 (or 163917 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 407947041 is about 20197.6989035880. The cubic root of 407947041 is about 741.6538618222.

The spelling of 407947041 in words is "four hundred seven million, nine hundred forty-seven thousand, forty-one".