409365504 has 132 divisors (see below), whose sum is σ = 1210694056. Its totient is φ = 133152768.

The previous prime is 409365497. The next prime is 409365529. The reversal of 409365504 is 405563904.

It is a happy number.

409365504 is a `hidden beast` number, since 4 + 0 + 93 + 65 + 504 = 666.

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 11 ways as a sum of consecutive naturals, for example, 395772 + ... + 396804.

Almost surely, 2^409365504 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 409365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605347028).

409365504 is an abundant number, since it is smaller than the sum of its proper divisors (801328552).

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

409365504 is a wasteful number, since it uses less digits than its factorization.

409365504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1081 counting only the distinct ones).

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

The square root of 409365504 is about 20232.7829030018. The cubic root of 409365504 is about 742.5124631449.

The spelling of 409365504 in words is "four hundred nine million, three hundred sixty-five thousand, five hundred four".