4806580 has 48 divisors (see below), whose sum is σ = 10898496. Its totient is φ = 1774080.

The previous prime is 4806577. The next prime is 4806587. The reversal of 4806580 is 856084.

It is a super-3 number, since 3×4806580³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4806587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22675 + ... + 22885.

It is an arithmetic number, because the mean of its divisors is an integer number (227052).

Almost surely, 2^4806580 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 4806580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449248).

4806580 is an abundant number, since it is smaller than the sum of its proper divisors (6091916).

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

4806580 is a wasteful number, since it uses less digits than its factorization.

4806580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 4806580 is about 2192.3913884159. The cubic root of 4806580 is about 168.7635782398.

The spelling of 4806580 in words is "four million, eight hundred six thousand, five hundred eighty".