404768 has 48 divisors (see below), whose sum is σ = 987840. Its totient is φ = 158976.

The previous prime is 404713. The next prime is 404773. The reversal of 404768 is 867404.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 404768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2843 + ... + 2981.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2⁴⁰⁴⁷⁶⁸ 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 404768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

404768 is an abundant number, since it is smaller than the sum of its proper divisors (583072).

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

404768 is a wasteful number, since it uses less digits than its factorization.

404768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 404768 is about 636.2138005419. The cubic root of 404768 is about 73.9722320944.

The spelling of 404768 in words is "four hundred four thousand, seven hundred sixty-eight".