409686804 has 36 divisors (see below), whose sum is σ = 1049790196. Its totient is φ = 134690688.

The previous prime is 409686779. The next prime is 409686821. The reversal of 409686804 is 408686904.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 330512400 + 79174404 = 18180^2 + 8898^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 409686804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75319 + ... + 80574.

Almost surely, 2^409686804 is an apocalyptic number.

It is an amenable number.

409686804 is an abundant number, since it is smaller than the sum of its proper divisors (640103392).

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

409686804 is a wasteful number, since it uses less digits than its factorization.

409686804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155976 (or 155971 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 409686804 is about 20240.7214298305. The cubic root of 409686804 is about 742.7066717138.

The spelling of 409686804 in words is "four hundred nine million, six hundred eighty-six thousand, eight hundred four".