409653 has 12 divisors (see below), whose sum is σ = 617760. Its totient is φ = 261096.

The previous prime is 409639. The next prime is 409657. The reversal of 409653 is 356904.

It is a happy number.

409653 is a `hidden beast` number, since 4 + 0 + 9 + 653 = 666.

It is not a de Polignac number, because 409653 - 2⁶ = 409589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 783 + ... + 1196.

It is an arithmetic number, because the mean of its divisors is an integer number (51480).

2⁴⁰⁹⁶⁵³ is an apocalyptic number.

It is an amenable number.

409653 is a deficient number, since it is larger than the sum of its proper divisors (208107).

409653 is a wasteful number, since it uses less digits than its factorization.

409653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 409653 is about 640.0414049107. The cubic root of 409653 is about 74.2686243795.

The spelling of 409653 in words is "four hundred nine thousand, six hundred fifty-three".