404518016 has 64 divisors (see below), whose sum is σ = 925344000. Its totient is φ = 172548096.

The previous prime is 404518001. The next prime is 404518031. The reversal of 404518016 is 610815404.

It is an interprime number because it is at equal distance from previous prime (404518001) and next prime (404518031).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 404518016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213200 + ... + 215088.

It is an arithmetic number, because the mean of its divisors is an integer number (14458500).

Almost surely, 2^404518016 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 404518016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672000).

404518016 is an abundant number, since it is smaller than the sum of its proper divisors (520825984).

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

404518016 is a wasteful number, since it uses less digits than its factorization.

404518016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 404518016 is about 20112.6332438097. The cubic root of 404518016 is about 739.5700058514.

The spelling of 404518016 in words is "four hundred four million, five hundred eighteen thousand, sixteen".