408828 has 48 divisors (see below), whose sum is σ = 1132544. Its totient is φ = 112320.

The previous prime is 408817. The next prime is 408841. The reversal of 408828 is 828804.

It is an Ulam number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 408795 and 408804.

It is a congruent number.

It is an unprimeable number.

408828 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 15 ways as a sum of consecutive naturals, for example, 2526 + ... + 2682.

2⁴⁰⁸⁸²⁸ 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 408828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566272).

408828 is an abundant number, since it is smaller than the sum of its proper divisors (723716).

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

408828 is a wasteful number, since it uses less digits than its factorization.

408828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 408828 is about 639.3965905446. The cubic root of 408828 is about 74.2187343564.

The spelling of 408828 in words is "four hundred eight thousand, eight hundred twenty-eight".