407776561 has 2 divisors, whose sum is σ = 407776562. Its totient is φ = 407776560.

The previous prime is 407776549. The next prime is 407776583. The reversal of 407776561 is 165677704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 363474225 + 44302336 = 19065^2 + 6656^2 .

It is a cyclic number.

It is not a de Polignac number, because 407776561 - 2⁹ = 407776049 is a prime.

It is not a weakly prime, because it can be changed into another prime (407776531) 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, 203888280 + 203888281.

It is an arithmetic number, because the mean of its divisors is an integer number (203888281).

Almost surely, 2^407776561 is an apocalyptic number.

It is an amenable number.

407776561 is a deficient number, since it is larger than the sum of its proper divisors (1).

407776561 is an equidigital number, since it uses as much as digits as its factorization.

407776561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 246960, while the sum is 43.

The square root of 407776561 is about 20193.4781798481. The cubic root of 407776561 is about 741.5505356921.

The spelling of 407776561 in words is "four hundred seven million, seven hundred seventy-six thousand, five hundred sixty-one".