404116506 has 32 divisors (see below), whose sum is σ = 898852800. Its totient is φ = 134583120.

The previous prime is 404116501. The next prime is 404116511. The reversal of 404116506 is 605611404.

404116506 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 1 + 650 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (404116501) and next prime (404116511).

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

It is a self number, because there is not a number n which added to its sum of digits gives 404116506.

It is not an unprimeable number, because it can be changed into a prime (404116501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71865 + ... + 77283.

It is an arithmetic number, because the mean of its divisors is an integer number (28089150).

Almost surely, 2^404116506 is an apocalyptic number.

404116506 is an abundant number, since it is smaller than the sum of its proper divisors (494736294).

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

404116506 is a wasteful number, since it uses less digits than its factorization.

404116506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 404116506 is about 20102.6492283977. The cubic root of 404116506 is about 739.3252346743.

The spelling of 404116506 in words is "four hundred four million, one hundred sixteen thousand, five hundred six".