408080 has 20 divisors (see below), whose sum is σ = 948972. Its totient is φ = 163200.

The previous prime is 408077. The next prime is 408091. The reversal of 408080 is 80804.

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 364816 = 208^2 + 604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 3 ways as a sum of consecutive naturals, for example, 2471 + ... + 2630.

2⁴⁰⁸⁰⁸⁰ is an apocalyptic number.

408080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408080 is an abundant number, since it is smaller than the sum of its proper divisors (540892).

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

408080 is a wasteful number, since it uses less digits than its factorization.

408080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 408080 is about 638.8113962665. The cubic root of 408080 is about 74.1734426891.

Adding to 408080 its reverse (80804), we get a palindrome (488884).

The spelling of 408080 in words is "four hundred eight thousand, eighty".