4709840 has 40 divisors (see below), whose sum is σ = 11068488. Its totient is φ = 1863680.

The previous prime is 4709839. The next prime is 4709849. The reversal of 4709840 is 489074.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61504 + 4648336 = 248^2 + 2156^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4709797 and 4709806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4709849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8780 + ... + 9300.

Almost surely, 2^4709840 is an apocalyptic number.

4709840 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 4709840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534244).

4709840 is an abundant number, since it is smaller than the sum of its proper divisors (6358648).

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

4709840 is a wasteful number, since it uses less digits than its factorization.

4709840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 4709840 is about 2170.2165790538. The cubic root of 4709840 is about 167.6236852851.

The spelling of 4709840 in words is "four million, seven hundred nine thousand, eight hundred forty".