408816 has 60 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 127488.

The previous prime is 408809. The next prime is 408817. The reversal of 408816 is 618804.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 408816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2365 + ... + 2531.

2⁴⁰⁸⁸¹⁶ 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 408816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336).

408816 is an abundant number, since it is smaller than the sum of its proper divisors (809856).

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

408816 is a wasteful number, since it uses less digits than its factorization.

408816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 408816 is about 639.3872066283. The cubic root of 408816 is about 74.2180081883.

The spelling of 408816 in words is "four hundred eight thousand, eight hundred sixteen".