409166725 has 24 divisors (see below), whose sum is σ = 565285248. Its totient is φ = 291235200.

The previous prime is 409166687. The next prime is 409166741. The reversal of 409166725 is 527661904.

It is not a de Polignac number, because 409166725 - 2⁹ = 409166213 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2904 + ... + 28753.

It is an arithmetic number, because the mean of its divisors is an integer number (23553552).

Almost surely, 2^409166725 is an apocalyptic number.

It is an amenable number.

409166725 is a deficient number, since it is larger than the sum of its proper divisors (156118523).

409166725 is a wasteful number, since it uses less digits than its factorization.

409166725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31725 (or 31720 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 409166725 is about 20227.8700065034. The cubic root of 409166725 is about 742.3922610437.

The spelling of 409166725 in words is "four hundred nine million, one hundred sixty-six thousand, seven hundred twenty-five".