404871168 has 192 divisors, whose sum is σ = 1202554080. Its totient is φ = 120324096.

The previous prime is 404871161. The next prime is 404871169. The reversal of 404871168 is 861178404.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404871161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2955196 + ... + 2955332.

Almost surely, 2^404871168 is an apocalyptic number.

404871168 is a gapful number since it is divisible by the number (48) 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 404871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601277040).

404871168 is an abundant number, since it is smaller than the sum of its proper divisors (797682912).

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

404871168 is a wasteful number, since it uses less digits than its factorization.

404871168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 404871168 is about 20121.4106861323. The cubic root of 404871168 is about 739.7851628596.

The spelling of 404871168 in words is "four hundred four million, eight hundred seventy-one thousand, one hundred sixty-eight".