456834 has 32 divisors (see below), whose sum is σ = 1065600. Its totient is φ = 127872.

The previous prime is 456821. The next prime is 456871. The reversal of 456834 is 438654.

456834 is nontrivially palindromic in base 13.

It is an unprimeable number.

456834 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, 2992 + ... + 3140.

It is an arithmetic number, because the mean of its divisors is an integer number (33300).

2⁴⁵⁶⁸³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532800).

456834 is an abundant number, since it is smaller than the sum of its proper divisors (608766).

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

456834 is a wasteful number, since it uses less digits than its factorization.

456834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its digits is 11520, while the sum is 30.

The square root of 456834 is about 675.8949622538. The cubic root of 456834 is about 77.0169187537.

The spelling of 456834 in words is "four hundred fifty-six thousand, eight hundred thirty-four".