409355604 has 108 divisors (see below), whose sum is σ = 1215314100. Its totient is φ = 115831296.

The previous prime is 409355599. The next prime is 409355621. The reversal of 409355604 is 406553904.

It is a happy number.

409355604 is a `hidden beast` number, since 4 + 0 + 93 + 5 + 560 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 193265604 + 216090000 = 13902^2 + 14700^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191212 + ... + 193340.

Almost surely, 2^409355604 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 409355604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607657050).

409355604 is an abundant number, since it is smaller than the sum of its proper divisors (805958496).

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

409355604 is a wasteful number, since it uses less digits than its factorization.

409355604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 409355604 is about 20232.5382490680. The cubic root of 409355604 is about 742.5064775138.

The spelling of 409355604 in words is "four hundred nine million, three hundred fifty-five thousand, six hundred four".