4809680 has 40 divisors (see below), whose sum is σ = 11383200. Its totient is φ = 1889408.

The previous prime is 4809677. The next prime is 4809683. The reversal of 4809680 is 869084.

It is an interprime number because it is at equal distance from previous prime (4809677) and next prime (4809683).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×4809680³ (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4809680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4809683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4211 + ... + 5229.

It is an arithmetic number, because the mean of its divisors is an integer number (284580).

Almost surely, 2^4809680 is an apocalyptic number.

4809680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691600).

4809680 is an abundant number, since it is smaller than the sum of its proper divisors (6573520).

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

4809680 is a wasteful number, since it uses less digits than its factorization.

4809680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 4809680 is about 2193.0982650123. The cubic root of 4809680 is about 168.7998517552.

The spelling of 4809680 in words is "four million, eight hundred nine thousand, six hundred eighty".