4808960 has 108 divisors (see below), whose sum is σ = 13177668. Its totient is φ = 1671168.

The previous prime is 4808959. The next prime is 4808963. The reversal of 4808960 is 698084.

It can be written as a sum of positive squares in 6 ways, for example, as 4096 + 4804864 = 64^2 + 2192^2 .

It is a super-3 number, since 3×4808960³ (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 4808960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4808963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282872 + ... + 282888.

Almost surely, 2^4808960 is an apocalyptic number.

4808960 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 4808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588834).

4808960 is an abundant number, since it is smaller than the sum of its proper divisors (8368708).

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

4808960 is a wasteful number, since it uses less digits than its factorization.

4808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 37 counting only the distinct ones).

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

The square root of 4808960 is about 2192.9341075372. The cubic root of 4808960 is about 168.7914283287.

The spelling of 4808960 in words is "four million, eight hundred eight thousand, nine hundred sixty".