4809960 has 96 divisors (see below), whose sum is σ = 16174080. Its totient is φ = 1238400.

The previous prime is 4809949. The next prime is 4809977. The reversal of 4809960 is 699084.

4809960 = T₃₀₆ + T₃₀₇ + ... + T₃₈₅.

It is a super-3 number, since 3×4809960³ (a number of 21 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 10945 + ... + 11375.

It is an arithmetic number, because the mean of its divisors is an integer number (168480).

Almost surely, 2^4809960 is an apocalyptic number.

4809960 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 4809960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087040).

4809960 is an abundant number, since it is smaller than the sum of its proper divisors (11364120).

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

4809960 is a wasteful number, since it uses less digits than its factorization.

4809960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4809960 is about 2193.1621007121. The cubic root of 4809960 is about 168.8031273052.

It can be divided in two parts, 480 and 9960, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 4809960 in words is "four million, eight hundred nine thousand, nine hundred sixty".