4580 has 12 divisors (see below), whose sum is σ = 9660.
Its totient is φ = 1824.
The previous prime is 4567. The next prime is 4583. The reversal of 4580 is 854.
It can be divided in two parts, 45 and 80, that multiplied together give a square (3600 = 602).
It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 1444 = 56^2 + 38^2
It is an Ulam 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 (4583) by changing a digit.
4580 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 3 ways as a sum of consecutive naturals, for example, 95 + ... + 134.
It is an arithmetic number, because the mean of its divisors is an integer number (805).
24580 is an apocalyptic number.
It is an amenable number.
4580 is an abundant number, since it is smaller than the sum of its proper divisors (5080).
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 (4830).
4580 is a wasteful number, since it uses less digits than its factorization.
4580 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 238 (or 236 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 17.
The square root of 4580 is about 67.6756972628.
The cubic root of 4580 is about 16.6068970227.
The spelling of 4580 in words is "four thousand, five hundred eighty".