4459680 has 144 divisors (see below), whose sum is σ = 16117920. Its totient is φ = 1119744.

The previous prime is 4459669. The next prime is 4459687. The reversal of 4459680 is 869544.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4459687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27279 + ... + 27441.

It is an arithmetic number, because the mean of its divisors is an integer number (111930).

Almost surely, 2^4459680 is an apocalyptic number.

4459680 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 4459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058960).

4459680 is an abundant number, since it is smaller than the sum of its proper divisors (11658240).

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

4459680 is a wasteful number, since it uses less digits than its factorization.

4459680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4459680 is about 2111.7954446395. The cubic root of 4459680 is about 164.6017945785.

It can be divided in two parts, 4 and 459680, that added together give a square (459684 = 678²).

The spelling of 4459680 in words is "four million, four hundred fifty-nine thousand, six hundred eighty".