166415409 has 36 divisors (see below), whose sum is σ = 252809856. Its totient is φ = 105462000.

The previous prime is 166415393. The next prime is 166415411. The reversal of 166415409 is 904514661.

166415409 is a `hidden beast` number, since 1 + 6 + 641 + 5 + 4 + 0 + 9 = 666.

166415409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166415409 - 2⁴ = 166415393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (166415429) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 613944 + ... + 614214.

It is an arithmetic number, because the mean of its divisors is an integer number (7022496).

Almost surely, 2^166415409 is an apocalyptic number.

It is an amenable number.

166415409 is a deficient number, since it is larger than the sum of its proper divisors (86394447).

166415409 is a wasteful number, since it uses less digits than its factorization.

166415409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 166415409 is about 12900.2096494592. The cubic root of 166415409 is about 550.0445242192.

The spelling of 166415409 in words is "one hundred sixty-six million, four hundred fifteen thousand, four hundred nine".