408688 has 40 divisors (see below), whose sum is σ = 937440. Its totient is φ = 168960.

The previous prime is 408677. The next prime is 408689. The reversal of 408688 is 886804.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408689) by changing a digit.

408688 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, 4548 + ... + 4636.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁴⁰⁸⁶⁸⁸ 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 408688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

408688 is an abundant number, since it is smaller than the sum of its proper divisors (528752).

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

408688 is a wasteful number, since it uses less digits than its factorization.

408688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 408688 is about 639.2871029514. The cubic root of 408688 is about 74.2102615112.

The spelling of 408688 in words is "four hundred eight thousand, six hundred eighty-eight".