409568 has 12 divisors (see below), whose sum is σ = 806400. Its totient is φ = 204768.

The previous prime is 409543. The next prime is 409573. The reversal of 409568 is 865904.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 12799 = 409568 / (4 + 0 + 9 + 5 + 6 + 8).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6368 + ... + 6431.

It is an arithmetic number, because the mean of its divisors is an integer number (67200).

2⁴⁰⁹⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

409568 is a deficient number, since it is larger than the sum of its proper divisors (396832).

409568 is a wasteful number, since it uses less digits than its factorization.

409568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12809 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 409568 is about 639.9749995117. The cubic root of 409568 is about 74.2634872921.

Adding to 409568 its sum of digits (32), we get a square (409600 = 640²).

The spelling of 409568 in words is "four hundred nine thousand, five hundred sixty-eight".