408856 has 32 divisors (see below), whose sum is σ = 900000. Its totient is φ = 174048.

The previous prime is 408841. The next prime is 408857. The reversal of 408856 is 658804.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408857) by changing a digit.

408856 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 7 ways as a sum of consecutive naturals, for example, 2670 + ... + 2818.

It is an arithmetic number, because the mean of its divisors is an integer number (28125).

2⁴⁰⁸⁸⁵⁶ 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 408856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450000).

408856 is an abundant number, since it is smaller than the sum of its proper divisors (491144).

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

408856 is a wasteful number, since it uses less digits than its factorization.

408856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 408856 is about 639.4184858135. The cubic root of 408856 is about 74.2204286933.

The spelling of 408856 in words is "four hundred eight thousand, eight hundred fifty-six".