404103168 has 336 divisors, whose sum is σ = 1431218880. Its totient is φ = 111476736.

The previous prime is 404103157. The next prime is 404103181. The reversal of 404103168 is 861301404.

It is a tau number, because it is divible by the number of its divisors (336).

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 23 ways as a sum of consecutive naturals, for example, 13934578 + ... + 13934606.

It is an arithmetic number, because the mean of its divisors is an integer number (4259580).

Almost surely, 2^404103168 is an apocalyptic number.

404103168 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 404103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715609440).

404103168 is an abundant number, since it is smaller than the sum of its proper divisors (1027115712).

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

404103168 is an frugal number, since it uses more digits than its factorization.

404103168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 404103168 is about 20102.3174783407. The cubic root of 404103168 is about 739.3171006929.

The spelling of 404103168 in words is "four hundred four million, one hundred three thousand, one hundred sixty-eight".