458240 has 40 divisors (see below), whose sum is σ = 1104840. Its totient is φ = 182272.

The previous prime is 458239. The next prime is 458309. The reversal of 458240 is 42854.

458240 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2471 + ... + 2649.

It is an arithmetic number, because the mean of its divisors is an integer number (27621).

2⁴⁵⁸²⁴⁰ is an apocalyptic number.

458240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552420).

458240 is an abundant number, since it is smaller than the sum of its proper divisors (646600).

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

458240 is an equidigital number, since it uses as much as digits as its factorization.

458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 458240 is about 676.9342656418. The cubic root of 458240 is about 77.0958496030.

The spelling of 458240 in words is "four hundred fifty-eight thousand, two hundred forty".