458216 has 32 divisors (see below), whose sum is σ = 967680. Its totient is φ = 201600.

The previous prime is 458207. The next prime is 458219. The reversal of 458216 is 612854.

458216 = T₁₉₃ + T₁₉₄ + ... + T₂₁₄.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458219) 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 7 ways as a sum of consecutive naturals, for example, 3545 + ... + 3671.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁴⁵⁸²¹⁶ 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 458216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

458216 is an abundant number, since it is smaller than the sum of its proper divisors (509464).

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

458216 is a wasteful number, since it uses less digits than its factorization.

458216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 458216 is about 676.9165384300. The cubic root of 458216 is about 77.0945036324.

The spelling of 458216 in words is "four hundred fifty-eight thousand, two hundred sixteen".