409166136 has 96 divisors (see below), whose sum is σ = 1162811520. Its totient is φ = 129729600.

The previous prime is 409166129. The next prime is 409166141. The reversal of 409166136 is 631661904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 409166136.

It is a congruent number.

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, 348831 + ... + 350001.

It is an arithmetic number, because the mean of its divisors is an integer number (12112620).

Almost surely, 2^409166136 is an apocalyptic number.

409166136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409166136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581405760).

409166136 is an abundant number, since it is smaller than the sum of its proper divisors (753645384).

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

409166136 is a wasteful number, since it uses less digits than its factorization.

409166136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 409166136 is about 20227.8554473775. The cubic root of 409166136 is about 742.3919048163.

The spelling of 409166136 in words is "four hundred nine million, one hundred sixty-six thousand, one hundred thirty-six".