1171080405 has 48 divisors (see below), whose sum is σ = 2218409856. Its totient is φ = 566770560.

The previous prime is 1171080389. The next prime is 1171080419. The reversal of 1171080405 is 5040801711.

It is not a de Polignac number, because 1171080405 - 2⁴ = 1171080389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321424 + ... + 325046.

It is an arithmetic number, because the mean of its divisors is an integer number (46216872).

Almost surely, 2^1171080405 is an apocalyptic number.

1171080405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1171080405 is a deficient number, since it is larger than the sum of its proper divisors (1047329451).

1171080405 is a wasteful number, since it uses less digits than its factorization.

1171080405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1171080405 is about 34221.0520732487. The cubic root of 1171080405 is about 1054.0524889035.

The spelling of 1171080405 in words is "one billion, one hundred seventy-one million, eighty thousand, four hundred five".