409332330 has 96 divisors (see below), whose sum is σ = 1171609920. Its totient is φ = 98327040.

The previous prime is 409332317. The next prime is 409332331. The reversal of 409332330 is 33233904.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 409332294 and 409332303.

It is not an unprimeable number, because it can be changed into a prime (409332331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110041 + ... + 113699.

It is an arithmetic number, because the mean of its divisors is an integer number (12204270).

Almost surely, 2^409332330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585804960).

409332330 is an abundant number, since it is smaller than the sum of its proper divisors (762277590).

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

409332330 is a wasteful number, since it uses less digits than its factorization.

409332330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 409332330 is about 20231.9630782581. The cubic root of 409332330 is about 742.4924054592.

The spelling of 409332330 in words is "four hundred nine million, three hundred thirty-two thousand, three hundred thirty".