409335825 has 12 divisors (see below), whose sum is σ = 676768688. Its totient is φ = 218312400.

The previous prime is 409335799. The next prime is 409335827. The reversal of 409335825 is 528533904.

It is not a de Polignac number, because 409335825 - 2¹⁹ = 408811537 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409335827) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2728831 + ... + 2728980.

Almost surely, 2^409335825 is an apocalyptic number.

It is an amenable number.

409335825 is a deficient number, since it is larger than the sum of its proper divisors (267432863).

409335825 is a wasteful number, since it uses less digits than its factorization.

409335825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457824 (or 5457819 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 409335825 is about 20232.0494513037. The cubic root of 409335825 is about 742.4945186594.

The spelling of 409335825 in words is "four hundred nine million, three hundred thirty-five thousand, eight hundred twenty-five".