58450 has 24 divisors (see below), whose sum is σ = 124992. Its totient is φ = 19920.

The previous prime is 58441. The next prime is 58451. The reversal of 58450 is 5485.

It is a happy number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (58451) by changing a digit.

58450 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 267 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁵⁸⁴⁵⁰ is an apocalyptic number.

58450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58450 is an abundant number, since it is smaller than the sum of its proper divisors (66542).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

58450 is a wasteful number, since it uses less digits than its factorization.

58450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 58450 is about 241.7643480747. The cubic root of 58450 is about 38.8086174929.

The spelling of 58450 in words is "fifty-eight thousand, four hundred fifty".