408040 has 24 divisors (see below), whose sum is σ = 927270. Its totient is φ = 161600.

The previous prime is 408019. The next prime is 408041. The reversal of 408040 is 40804.

It can be written as a sum of positive squares in 3 ways, for example, as 401956 + 6084 = 634^2 + 78^2 .

It is not an unprimeable number, because it can be changed into a prime (408041) by changing a digit.

408040 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 5 ways as a sum of consecutive naturals, for example, 3990 + ... + 4090.

2⁴⁰⁸⁰⁴⁰ is an apocalyptic number.

408040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408040 is an abundant number, since it is smaller than the sum of its proper divisors (519230).

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

408040 is a wasteful number, since it uses less digits than its factorization.

408040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 408040 is about 638.7800873540. The cubic root of 408040 is about 74.1710191164.

Adding to 408040 its reverse (40804), we get a palindrome (448844).

Subtracting from 408040 its reverse (40804), we obtain a square (367236 = 606²).

The spelling of 408040 in words is "four hundred eight thousand, forty".