409130106 has 96 divisors (see below), whose sum is σ = 1053217728. Its totient is φ = 104751360.

The previous prime is 409130101. The next prime is 409130107. The reversal of 409130106 is 601031904.

It is not an unprimeable number, because it can be changed into a prime (409130101) 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, 235216 + ... + 236948.

It is an arithmetic number, because the mean of its divisors is an integer number (10971018).

Almost surely, 2^409130106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409130106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526608864).

409130106 is an abundant number, since it is smaller than the sum of its proper divisors (644087622).

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

409130106 is a wasteful number, since it uses less digits than its factorization.

409130106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 409130106 is about 20226.9648242142. The cubic root of 409130106 is about 742.3701132072.

The spelling of 409130106 in words is "four hundred nine million, one hundred thirty thousand, one hundred six".