404509961 has 2 divisors, whose sum is σ = 404509962. Its totient is φ = 404509960.

The previous prime is 404509957. The next prime is 404509967. The reversal of 404509961 is 169905404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 393784336 + 10725625 = 19844^2 + 3275^2 .

It is a cyclic number.

It is not a de Polignac number, because 404509961 - 2² = 404509957 is a prime.

It is not a weakly prime, because it can be changed into another prime (404509967) 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, 202254980 + 202254981.

It is an arithmetic number, because the mean of its divisors is an integer number (202254981).

Almost surely, 2^404509961 is an apocalyptic number.

It is an amenable number.

404509961 is a deficient number, since it is larger than the sum of its proper divisors (1).

404509961 is an equidigital number, since it uses as much as digits as its factorization.

404509961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 404509961 is about 20112.4329955379. The cubic root of 404509961 is about 739.5650969016.

The spelling of 404509961 in words is "four hundred four million, five hundred nine thousand, nine hundred sixty-one".