408840 has 32 divisors (see below), whose sum is σ = 1226880. Its totient is φ = 108992.

The previous prime is 408817. The next prime is 408841. The reversal of 408840 is 48804.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 408840.

It is not an unprimeable number, because it can be changed into a prime (408841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1584 + ... + 1823.

It is an arithmetic number, because the mean of its divisors is an integer number (38340).

2⁴⁰⁸⁸⁴⁰ is an apocalyptic number.

408840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408840 is an abundant number, since it is smaller than the sum of its proper divisors (818040).

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

408840 is a wasteful number, since it uses less digits than its factorization.

408840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3417 counting only the distinct ones).

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

The square root of 408840 is about 639.4059743230. The cubic root of 408840 is about 74.2194605103.

The spelling of 408840 in words is "four hundred eight thousand, eight hundred forty".