405834 has 48 divisors (see below), whose sum is σ = 983136. Its totient is φ = 110880.

The previous prime is 405829. The next prime is 405857. The reversal of 405834 is 438504.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9417 + ... + 9459.

It is an arithmetic number, because the mean of its divisors is an integer number (20482).

2⁴⁰⁵⁸³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491568).

405834 is an abundant number, since it is smaller than the sum of its proper divisors (577302).

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

405834 is a wasteful number, since it uses less digits than its factorization.

405834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 405834 is about 637.0510183651. The cubic root of 405834 is about 74.0371131099.

The spelling of 405834 in words is "four hundred five thousand, eight hundred thirty-four".