409042071 has 24 divisors (see below), whose sum is σ = 612612000. Its totient is φ = 262688832.

The previous prime is 409042069. The next prime is 409042091. The reversal of 409042071 is 170240904.

It is a happy number.

It is not a de Polignac number, because 409042071 - 2¹ = 409042069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409042091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131310 + ... + 134388.

It is an arithmetic number, because the mean of its divisors is an integer number (25525500).

Almost surely, 2^409042071 is an apocalyptic number.

409042071 is a deficient number, since it is larger than the sum of its proper divisors (203569929).

409042071 is a wasteful number, since it uses less digits than its factorization.

409042071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 409042071 is about 20224.7885279426. The cubic root of 409042071 is about 742.3168626315.

Adding to 409042071 its reverse (170240904), we get a palindrome (579282975).

The spelling of 409042071 in words is "four hundred nine million, forty-two thousand, seventy-one".