409530 has 64 divisors (see below), whose sum is σ = 1150848. Its totient is φ = 92160.

The previous prime is 409529. The next prime is 409543. The reversal of 409530 is 35904.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 409497 and 409506.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409530.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5574 + ... + 5646.

It is an arithmetic number, because the mean of its divisors is an integer number (17982).

2⁴⁰⁹⁵³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575424).

409530 is an abundant number, since it is smaller than the sum of its proper divisors (741318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409530 is a wasteful number, since it uses less digits than its factorization.

409530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 409530 is about 639.9453101633. The cubic root of 409530 is about 74.2611904820.

It can be divided in two parts, 409 and 530, that added together give a palindrome (939).

The spelling of 409530 in words is "four hundred nine thousand, five hundred thirty".