408456 has 64 divisors (see below), whose sum is σ = 1190400. Its totient is φ = 129600.

The previous prime is 408437. The next prime is 408461. The reversal of 408456 is 654804.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408456.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6666 + ... + 6726.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2⁴⁰⁸⁴⁵⁶ 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 408456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595200).

408456 is an abundant number, since it is smaller than the sum of its proper divisors (781944).

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

408456 is a wasteful number, since it uses less digits than its factorization.

408456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 408456 is about 639.1056250730. The cubic root of 408456 is about 74.1962165351.

The spelling of 408456 in words is "four hundred eight thousand, four hundred fifty-six".