409135104 has 288 divisors, whose sum is σ = 1419163200. Its totient is φ = 116121600.

The previous prime is 409135093. The next prime is 409135123. The reversal of 409135104 is 401531904.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709429 + ... + 2709579.

It is an arithmetic number, because the mean of its divisors is an integer number (4927650).

Almost surely, 2^409135104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709581600).

409135104 is an abundant number, since it is smaller than the sum of its proper divisors (1010028096).

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

409135104 is a wasteful number, since it uses less digits than its factorization.

409135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 409135104 is about 20227.0883717850. The cubic root of 409135104 is about 742.3731361663.

The spelling of 409135104 in words is "four hundred nine million, one hundred thirty-five thousand, one hundred four".