404404164 has 60 divisors (see below), whose sum is σ = 1081815504. Its totient is φ = 131661936.

The previous prime is 404404157. The next prime is 404404171. The reversal of 404404164 is 461404404.

It is an interprime number because it is at equal distance from previous prime (404404157) and next prime (404404171).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 582 + ... + 28445.

Almost surely, 2^404404164 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 404404164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540907752).

404404164 is an abundant number, since it is smaller than the sum of its proper divisors (677411340).

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

404404164 is a wasteful number, since it uses less digits than its factorization.

404404164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29086 (or 29075 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 404404164 is about 20109.8026842632. The cubic root of 404404164 is about 739.5006151018.

Adding to 404404164 its reverse (461404404), we get a palindrome (865808568).

The spelling of 404404164 in words is "four hundred four million, four hundred four thousand, one hundred sixty-four".