58400 has 36 divisors (see below), whose sum is σ = 144522. Its totient is φ = 23040.

The previous prime is 58393. The next prime is 58403. The reversal of 58400 is 485.

58400 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 44944 + 13456 = 212^2 + 116^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 5 and base 16.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (58403) by changing a digit.

58400 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 764 + ... + 836.

2⁵⁸⁴⁰⁰ is an apocalyptic number.

58400 is a gapful number since it is divisible by the number (50) 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 58400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72261).

58400 is an abundant number, since it is smaller than the sum of its proper divisors (86122).

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

58400 is a wasteful number, since it uses less digits than its factorization.

58400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 58400 is about 241.6609194719. The cubic root of 58400 is about 38.7975482916.

Adding to 58400 its reverse (485), we get a palindrome (58885).

The spelling of 58400 in words is "fifty-eight thousand, four hundred".