409563 has 32 divisors (see below), whose sum is σ = 760320. Its totient is φ = 211680.

The previous prime is 409543. The next prime is 409573. The reversal of 409563 is 365904.

It is a happy number.

It is not a de Polignac number, because 409563 - 2⁶ = 409499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (409523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981 + ... + 2177.

It is an arithmetic number, because the mean of its divisors is an integer number (23760).

2⁴⁰⁹⁵⁶³ is an apocalyptic number.

409563 is a deficient number, since it is larger than the sum of its proper divisors (350757).

409563 is a wasteful number, since it uses less digits than its factorization.

409563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

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

The square root of 409563 is about 639.9710930972. The cubic root of 409563 is about 74.2631850883.

The spelling of 409563 in words is "four hundred nine thousand, five hundred sixty-three".