407841361 has 2 divisors, whose sum is σ = 407841362. Its totient is φ = 407841360.

The previous prime is 407841349. The next prime is 407841377. The reversal of 407841361 is 163148704.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311310736 + 96530625 = 17644^2 + 9825^2 .

It is a cyclic number.

It is not a de Polignac number, because 407841361 - 2⁷ = 407841233 is a prime.

It is not a weakly prime, because it can be changed into another prime (407841331) 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, 203920680 + 203920681.

It is an arithmetic number, because the mean of its divisors is an integer number (203920681).

Almost surely, 2^407841361 is an apocalyptic number.

It is an amenable number.

407841361 is a deficient number, since it is larger than the sum of its proper divisors (1).

407841361 is an equidigital number, since it uses as much as digits as its factorization.

407841361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 407841361 is about 20195.0825945328. The cubic root of 407841361 is about 741.5898136809.

The spelling of 407841361 in words is "four hundred seven million, eight hundred forty-one thousand, three hundred sixty-one".