458406 has 32 divisors (see below), whose sum is σ = 1098720. Its totient is φ = 140832.

The previous prime is 458401. The next prime is 458407. The reversal of 458406 is 604854.

458406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 458406.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 458406.

It is not an unprimeable number, because it can be changed into a prime (458401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (34335).

2⁴⁵⁸⁴⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549360).

458406 is an abundant number, since it is smaller than the sum of its proper divisors (640314).

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

458406 is a wasteful number, since it uses less digits than its factorization.

458406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 458406 is about 677.0568661494. The cubic root of 458406 is about 77.1051579465.

The spelling of 458406 in words is "four hundred fifty-eight thousand, four hundred six".