409694125 has 16 divisors (see below), whose sum is σ = 514753200. Its totient is φ = 325540800.

The previous prime is 409694111. The next prime is 409694137. The reversal of 409694125 is 521496904.

It can be written as a sum of positive squares in 8 ways, for example, as 188815081 + 220879044 = 13741^2 + 14862^2 .

It is not a de Polignac number, because 409694125 - 2¹³ = 409685933 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7627 + ... + 29623.

It is an arithmetic number, because the mean of its divisors is an integer number (32172075).

Almost surely, 2^409694125 is an apocalyptic number.

It is an amenable number.

409694125 is a deficient number, since it is larger than the sum of its proper divisors (105059075).

409694125 is a wasteful number, since it uses less digits than its factorization.

409694125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22161 (or 22151 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 409694125 is about 20240.9022773196. The cubic root of 409694125 is about 742.7110956812.

The spelling of 409694125 in words is "four hundred nine million, six hundred ninety-four thousand, one hundred twenty-five".