58408 has 24 divisors (see below), whose sum is σ = 128250. Its totient is φ = 24864.

The previous prime is 58403. The next prime is 58411. The reversal of 58408 is 80485.

It can be written as a sum of positive squares in only one way, i.e., 56644 + 1764 = 238^2 + 42^2 .

It is a super-2 number, since 2×58408² = 6822988928, which contains 22 as substring.

It is a plaindrome in base 15.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

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

58408 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 5 ways as a sum of consecutive naturals, for example, 318 + ... + 466.

2⁵⁸⁴⁰⁸ 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 58408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64125).

58408 is an abundant number, since it is smaller than the sum of its proper divisors (69842).

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

58408 is a wasteful number, since it uses less digits than its factorization.

58408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 58408 is about 241.6774710228. The cubic root of 58408 is about 38.7993197883.

The spelling of 58408 in words is "fifty-eight thousand, four hundred eight".