408408 has 128 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 92160.

The previous prime is 408403. The next prime is 408413. The reversal of 408408 is 804804.

It is an interprime number because it is at equal distance from previous prime (408403) and next prime (408413).

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 (408403) by changing a digit.

408408 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 31 ways as a sum of consecutive naturals, for example, 24016 + ... + 24032.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2⁴⁰⁸⁴⁰⁸ 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 408408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

408408 is an abundant number, since it is smaller than the sum of its proper divisors (1043112).

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

408408 is a wasteful number, since it uses less digits than its factorization.

408408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 53 counting only the distinct ones).

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

The square root of 408408 is about 639.0680714916. The cubic root of 408408 is about 74.1933100141.

It can be divided in two parts, 40 and 8408, that added together give a palindrome (8448).

The spelling of 408408 in words is "four hundred eight thousand, four hundred eight".