404100018 has 192 divisors, whose sum is σ = 1132185600. Its totient is φ = 101502720.

The previous prime is 404100017. The next prime is 404100019. The reversal of 404100018 is 810001404.

It is an interprime number because it is at equal distance from previous prime (404100017) and next prime (404100019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (404100017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2257453 + ... + 2257631.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2^404100018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404100018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566092800).

404100018 is an abundant number, since it is smaller than the sum of its proper divisors (728085582).

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

404100018 is a wasteful number, since it uses less digits than its factorization.

404100018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 404100018 is about 20102.2391290125. The cubic root of 404100018 is about 739.3151796860.

The spelling of 404100018 in words is "four hundred four million, one hundred thousand, eighteen".