408404 has 6 divisors (see below), whose sum is σ = 714714. Its totient is φ = 204200.

The previous prime is 408403. The next prime is 408413. The reversal of 408404 is 404804.

It can be written as a sum of positive squares in only one way, i.e., 250000 + 158404 = 500^2 + 398^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51047 + ... + 51054.

It is an arithmetic number, because the mean of its divisors is an integer number (119119).

2⁴⁰⁸⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

408404 is a deficient number, since it is larger than the sum of its proper divisors (306310).

408404 is a wasteful number, since it uses less digits than its factorization.

408404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102105 (or 102103 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 408404 is about 639.0649419269. The cubic root of 408404 is about 74.1930677937.

Subtracting from 408404 its reverse (404804), we obtain a square (3600 = 60²).

The spelling of 408404 in words is "four hundred eight thousand, four hundred four".