409105134 has 64 divisors (see below), whose sum is σ = 943488000. Its totient is φ = 131302080.

The previous prime is 409105127. The next prime is 409105141. The reversal of 409105134 is 431501904.

It is an interprime number because it is at equal distance from previous prime (409105127) and next prime (409105141).

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

It is a junction number, because it is equal to n+sod(n) for n = 409105098 and 409105107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173737 + ... + 176075.

It is an arithmetic number, because the mean of its divisors is an integer number (14742000).

Almost surely, 2^409105134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409105134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000).

409105134 is an abundant number, since it is smaller than the sum of its proper divisors (534382866).

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

409105134 is a wasteful number, since it uses less digits than its factorization.

409105134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2464 counting only the distinct ones).

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

The square root of 409105134 is about 20226.3475200047. The cubic root of 409105134 is about 742.3550089299.

The spelling of 409105134 in words is "four hundred nine million, one hundred five thousand, one hundred thirty-four".