404096 has 64 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 153600.

The previous prime is 404081. The next prime is 404099. The reversal of 404096 is 690404.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (404099) by changing a digit.

404096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9836 + ... + 9876.

It is an arithmetic number, because the mean of its divisors is an integer number (16065).

2⁴⁰⁴⁰⁹⁶ 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 404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

404096 is an abundant number, since it is smaller than the sum of its proper divisors (624064).

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

404096 is a wasteful number, since it uses less digits than its factorization.

404096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 404096 is about 635.6854568102. The cubic root of 404096 is about 73.9312729320.

The spelling of 404096 in words is "four hundred four thousand, ninety-six".