409530000 has 400 divisors, whose sum is σ = 1547954496. Its totient is φ = 92160000.

The previous prime is 409529963. The next prime is 409530007. The reversal of 409530000 is 35904.

409530000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (409530007) 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 79 ways as a sum of consecutive naturals, for example, 5609964 + ... + 5610036.

Almost surely, 2^409530000 is an apocalyptic number.

409530000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773977248).

409530000 is an abundant number, since it is smaller than the sum of its proper divisors (1138424496).

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

409530000 is a wasteful number, since it uses less digits than its factorization.

409530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

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

The square root of 409530000 is about 20236.8475805892. The cubic root of 409530000 is about 742.6119048196.

Adding to 409530000 its reverse (35904), we get a palindrome (409565904).

The spelling of 409530000 in words is "four hundred nine million, five hundred thirty thousand".