416808 has 48 divisors (see below), whose sum is σ = 1291680. Its totient is φ = 118944.

The previous prime is 416797. The next prime is 416821. The reversal of 416808 is 808614.

It is an unprimeable number.

416808 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 11 ways as a sum of consecutive naturals, for example, 91 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (26910).

2⁴¹⁶⁸⁰⁸ 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 416808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645840).

416808 is an abundant number, since it is smaller than the sum of its proper divisors (874872).

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

416808 is a wasteful number, since it uses less digits than its factorization.

416808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 839 counting only the distinct ones).

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

The square root of 416808 is about 645.6066914151. The cubic root of 416808 is about 74.6985231129.

The spelling of 416808 in words is "four hundred sixteen thousand, eight hundred eight".