427808 has 24 divisors (see below), whose sum is σ = 873180. Its totient is φ = 206080.

The previous prime is 427789. The next prime is 427813. The reversal of 427808 is 808724.

It can be written as a sum of positive squares in 2 ways, for example, as 425104 + 2704 = 652^2 + 52^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

427808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 698 + ... + 1158.

2⁴²⁷⁸⁰⁸ 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 427808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436590).

427808 is an abundant number, since it is smaller than the sum of its proper divisors (445372).

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

427808 is a wasteful number, since it uses less digits than its factorization.

427808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 427808 is about 654.0703326096. The cubic root of 427808 is about 75.3499497809.

The spelling of 427808 in words is "four hundred twenty-seven thousand, eight hundred eight".