407817041 has 2 divisors, whose sum is σ = 407817042. Its totient is φ = 407817040.

The previous prime is 407816999. The next prime is 407817043. The reversal of 407817041 is 140718704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 392832400 + 14984641 = 19820^2 + 3871^2 .

It is a cyclic number.

It is not a de Polignac number, because 407817041 - 2⁶ = 407816977 is a prime.

Together with 407817043, 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 = 407816989 and 407817007.

It is not a weakly prime, because it can be changed into another prime (407817043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203908520 + 203908521.

It is an arithmetic number, because the mean of its divisors is an integer number (203908521).

Almost surely, 2^407817041 is an apocalyptic number.

It is an amenable number.

407817041 is a deficient number, since it is larger than the sum of its proper divisors (1).

407817041 is an equidigital number, since it uses as much as digits as its factorization.

407817041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 407817041 is about 20194.4804587788. The cubic root of 407817041 is about 741.5750728000.

The spelling of 407817041 in words is "four hundred seven million, eight hundred seventeen thousand, forty-one".