46580 has 24 divisors (see below), whose sum is σ = 104328. Its totient is φ = 17408.

The previous prime is 46573. The next prime is 46589. The reversal of 46580 is 8564.

46580 is nontrivially palindromic in base 3 and base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 11236 + 35344 = 106^2 + 188^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46589) by changing a digit.

46580 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 7 ways as a sum of consecutive naturals, for example, 272 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (4347).

2⁴⁶⁵⁸⁰ 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 46580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52164).

46580 is an abundant number, since it is smaller than the sum of its proper divisors (57748).

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

46580 is a wasteful number, since it uses less digits than its factorization.

46580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 46580 is about 215.8240023723. The cubic root of 46580 is about 35.9804420515.

It can be divided in two parts, 465 and 80, that added together give a palindrome (545).

The spelling of 46580 in words is "forty-six thousand, five hundred eighty".