458480 has 40 divisors (see below), whose sum is σ = 1165104. Its totient is φ = 166400.

The previous prime is 458477. The next prime is 458483. The reversal of 458480 is 84854.

It is an interprime number because it is at equal distance from previous prime (458477) and next prime (458483).

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

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 458480.

It is not an unprimeable number, because it can be changed into a prime (458483) 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, 620 + ... + 1140.

2⁴⁵⁸⁴⁸⁰ is an apocalyptic number.

458480 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 458480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582552).

458480 is an abundant number, since it is smaller than the sum of its proper divisors (706624).

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

458480 is a wasteful number, since it uses less digits than its factorization.

458480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 458480 is about 677.1115122341. Note that the first 3 decimals coincide. The cubic root of 458480 is about 77.1093067249.

It can be divided in two parts, 4584 and 80, that added together give a palindrome (4664).

The spelling of 458480 in words is "four hundred fifty-eight thousand, four hundred eighty".