409505961 has 16 divisors (see below), whose sum is σ = 579409920. Its totient is φ = 256705680.

The previous prime is 409505951. The next prime is 409505969. The reversal of 409505961 is 169505904.

It is not a de Polignac number, because 409505961 - 2¹⁸ = 409243817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409505969) 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 in 15 ways as a sum of consecutive naturals, for example, 46225 + ... + 54366.

It is an arithmetic number, because the mean of its divisors is an integer number (36213120).

Almost surely, 2^409505961 is an apocalyptic number.

It is an amenable number.

409505961 is a deficient number, since it is larger than the sum of its proper divisors (169903959).

409505961 is a wasteful number, since it uses less digits than its factorization.

409505961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100676.

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 409505961 is about 20236.2536305513. The cubic root of 409505961 is about 742.5973743441.

The spelling of 409505961 in words is "four hundred nine million, five hundred five thousand, nine hundred sixty-one".