166417407 has 24 divisors (see below), whose sum is σ = 262005744. Its totient is φ = 101170944.

The previous prime is 166417367. The next prime is 166417411. The reversal of 166417407 is 704714661.

166417407 is a `hidden beast` number, since 1 + 6 + 641 + 7 + 4 + 0 + 7 = 666.

It is not a de Polignac number, because 166417407 - 2¹⁵ = 166384639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166417417) 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, 1143 + ... + 18279.

It is an arithmetic number, because the mean of its divisors is an integer number (10916906).

Almost surely, 2^166417407 is an apocalyptic number.

166417407 is a deficient number, since it is larger than the sum of its proper divisors (95588337).

166417407 is a wasteful number, since it uses less digits than its factorization.

166417407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17239 (or 17236 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 166417407 is about 12900.2870898287. The cubic root of 166417407 is about 550.0467255069.

The spelling of 166417407 in words is "one hundred sixty-six million, four hundred seventeen thousand, four hundred seven".