458720 has 48 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 176640.

The previous prime is 458719. The next prime is 458729. The reversal of 458720 is 27854.

It is a self number, because there is not a number n which added to its sum of digits gives 458720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458729) 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, 7490 + ... + 7550.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

458720 is a Friedman number, since it can be written as 7*4^8-(2+0)^5, using all its digits and the basic arithmetic operations.

2⁴⁵⁸⁷²⁰ is an apocalyptic number.

458720 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 458720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

458720 is an abundant number, since it is smaller than the sum of its proper divisors (666208).

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

458720 is a wasteful number, since it uses less digits than its factorization.

458720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 458720 is about 677.2887124410. The cubic root of 458720 is about 77.1227591513.

The spelling of 458720 in words is "four hundred fifty-eight thousand, seven hundred twenty".