405406961 has 2 divisors, whose sum is σ = 405406962. Its totient is φ = 405406960.

The previous prime is 405406957. The next prime is 405406997. The reversal of 405406961 is 169604504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 357021025 + 48385936 = 18895^2 + 6956^2 .

It is a cyclic number.

It is not a de Polignac number, because 405406961 - 2² = 405406957 is a prime.

It is not a weakly prime, because it can be changed into another prime (405406931) 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 as a sum of consecutive naturals, namely, 202703480 + 202703481.

It is an arithmetic number, because the mean of its divisors is an integer number (202703481).

Almost surely, 2^405406961 is an apocalyptic number.

It is an amenable number.

405406961 is a deficient number, since it is larger than the sum of its proper divisors (1).

405406961 is an equidigital number, since it uses as much as digits as its factorization.

405406961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 405406961 is about 20134.7202861127. The cubic root of 405406961 is about 740.1113546816. Note that the first 3 decimals are identical.

The spelling of 405406961 in words is "four hundred five million, four hundred six thousand, nine hundred sixty-one".