408834 has 32 divisors (see below), whose sum is σ = 930240. Its totient is φ = 133056.

The previous prime is 408817. The next prime is 408841. The reversal of 408834 is 438804.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 408798 and 408807.

It is a congruent number.

It is an unprimeable number.

408834 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, 3562 + ... + 3674.

It is an arithmetic number, because the mean of its divisors is an integer number (29070).

2⁴⁰⁸⁸³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465120).

408834 is an abundant number, since it is smaller than the sum of its proper divisors (521406).

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

408834 is a wasteful number, since it uses less digits than its factorization.

408834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 408834 is about 639.4012824510. The cubic root of 408834 is about 74.2190974351.

The spelling of 408834 in words is "four hundred eight thousand, eight hundred thirty-four".