404218160 has 80 divisors (see below), whose sum is σ = 999444960. Its totient is φ = 151603200.

The previous prime is 404218151. The next prime is 404218183. The reversal of 404218160 is 61812404.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152204 + ... + 154836.

It is an arithmetic number, because the mean of its divisors is an integer number (12493062).

Almost surely, 2^404218160 is an apocalyptic number.

404218160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404218160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499722480).

404218160 is an abundant number, since it is smaller than the sum of its proper divisors (595226800).

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

404218160 is a wasteful number, since it uses less digits than its factorization.

404218160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 404218160 is about 20105.1774426390. The cubic root of 404218160 is about 739.3872209790.

The spelling of 404218160 in words is "four hundred four million, two hundred eighteen thousand, one hundred sixty".