804408 has 48 divisors (see below), whose sum is σ = 2218440. Its totient is φ = 242880.

The previous prime is 804383. The next prime is 804409.

804408 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2766 + ... + 3042.

2⁸⁰⁴⁴⁰⁸ is an apocalyptic number.

804408 is a gapful number since it is divisible by the number (88) 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 804408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109220).

804408 is an abundant number, since it is smaller than the sum of its proper divisors (1414032).

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

804408 is a wasteful number, since it uses less digits than its factorization.

804408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 804408 is about 896.8879528681. The cubic root of 804408 is about 93.0019655036.

The spelling of 804408 in words is "eight hundred four thousand, four hundred eight".