4657980 has 48 divisors (see below), whose sum is σ = 13497120. Its totient is φ = 1198848.

The previous prime is 4657963. The next prime is 4657981. The reversal of 4657980 is 897564.

4657980 = 218² + 219² + ... + 289².

4657980 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657981) 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 15 ways as a sum of consecutive naturals, for example, 402 + ... + 3078.

It is an arithmetic number, because the mean of its divisors is an integer number (281190).

Almost surely, 2^4657980 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 4657980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748560).

4657980 is an abundant number, since it is smaller than the sum of its proper divisors (8839140).

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

4657980 is a wasteful number, since it uses less digits than its factorization.

4657980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 4657980 is about 2158.2353903131. The cubic root of 4657980 is about 167.0061790296.

The spelling of 4657980 in words is "four million, six hundred fifty-seven thousand, nine hundred eighty".