404004160 has 224 divisors, whose sum is σ = 1161361152. Its totient is φ = 130990080.

The previous prime is 404004157. The next prime is 404004169. The reversal of 404004160 is 61400404.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×404004160² = 326438722594611200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404004169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4867479 + ... + 4867561.

It is an arithmetic number, because the mean of its divisors is an integer number (5184648).

Almost surely, 2^404004160 is an apocalyptic number.

404004160 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 404004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580680576).

404004160 is an abundant number, since it is smaller than the sum of its proper divisors (757356992).

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

404004160 is a wasteful number, since it uses less digits than its factorization.

404004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 404004160 is about 20099.8547258432. The cubic root of 404004160 is about 739.2567165367.

Adding to 404004160 its reverse (61400404), we get a palindrome (465404564).

The spelling of 404004160 in words is "four hundred four million, four thousand, one hundred sixty".