58420 has 24 divisors (see below), whose sum is σ = 129024. Its totient is φ = 22176.

The previous prime is 58417. The next prime is 58427. The reversal of 58420 is 2485.

It is a happy number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

2⁵⁸⁴²⁰ 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 58420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512).

58420 is an abundant number, since it is smaller than the sum of its proper divisors (70604).

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

58420 is a wasteful number, since it uses less digits than its factorization.

58420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 58420 is about 241.7022962241. The cubic root of 58420 is about 38.8019767300.

The spelling of 58420 in words is "fifty-eight thousand, four hundred twenty".