405434106 has 128 divisors (see below), whose sum is σ = 1130526720. Its totient is φ = 104630400.

The previous prime is 405434093. The next prime is 405434129. The reversal of 405434106 is 601434504.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 405434106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1168225 + ... + 1168571.

It is an arithmetic number, because the mean of its divisors is an integer number (8832240).

Almost surely, 2^405434106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405434106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565263360).

405434106 is an abundant number, since it is smaller than the sum of its proper divisors (725092614).

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

405434106 is a wasteful number, since it uses less digits than its factorization.

405434106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 405434106 is about 20135.3943591875. The cubic root of 405434106 is about 740.1278729593.

The spelling of 405434106 in words is "four hundred five million, four hundred thirty-four thousand, one hundred six".