58460 has 24 divisors (see below), whose sum is σ = 127680. Its totient is φ = 22464.

The previous prime is 58453. The next prime is 58477. The reversal of 58460 is 6485.

58460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

58460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 701 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁵⁸⁴⁶⁰ 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 58460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840).

58460 is an abundant number, since it is smaller than the sum of its proper divisors (69220).

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

58460 is a wasteful number, since it uses less digits than its factorization.

58460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 58460 is about 241.7850284860. The cubic root of 58460 is about 38.8108305755.

The spelling of 58460 in words is "fifty-eight thousand, four hundred sixty".