4716580 has 36 divisors (see below), whose sum is σ = 10892700. Its totient is φ = 1714240.

The previous prime is 4716571. The next prime is 4716583. The reversal of 4716580 is 856174.

It can be written as a sum of positive squares in 2 ways, for example, as 2795584 + 1920996 = 1672^2 + 1386^2 .

It is a super-2 number, since 2×4716580² = 44492253792800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4716583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1446 + ... + 3394.

It is an arithmetic number, because the mean of its divisors is an integer number (302575).

Almost surely, 2^4716580 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 4716580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446350).

4716580 is an abundant number, since it is smaller than the sum of its proper divisors (6176120).

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

4716580 is a wasteful number, since it uses less digits than its factorization.

4716580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 4716580 is about 2171.7688643131. The cubic root of 4716580 is about 167.7036062691.

The spelling of 4716580 in words is "four million, seven hundred sixteen thousand, five hundred eighty".