4682880 has 128 divisors (see below), whose sum is σ = 16646400. Its totient is φ = 1244160.

The previous prime is 4682863. The next prime is 4682903. The reversal of 4682880 is 882864.

4682880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17145 + ... + 17415.

It is an arithmetic number, because the mean of its divisors is an integer number (130050).

Almost surely, 2^4682880 is an apocalyptic number.

4682880 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 4682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323200).

4682880 is an abundant number, since it is smaller than the sum of its proper divisors (11963520).

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

4682880 is a wasteful number, since it uses less digits than its factorization.

4682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4682880 is about 2163.9963031392. The cubic root of 4682880 is about 167.3032366873.

The spelling of 4682880 in words is "four million, six hundred eighty-two thousand, eight hundred eighty".