4809120 has 96 divisors (see below), whose sum is σ = 15567552. Its totient is φ = 1247232.

The previous prime is 4809107. The next prime is 4809121. The reversal of 4809120 is 219084.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4809120³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4809121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20524 + ... + 20756.

It is an arithmetic number, because the mean of its divisors is an integer number (162162).

Almost surely, 2^4809120 is an apocalyptic number.

4809120 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 4809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783776).

4809120 is an abundant number, since it is smaller than the sum of its proper divisors (10758432).

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

4809120 is a wasteful number, since it uses less digits than its factorization.

4809120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 4809120 is about 2192.9705880381. The cubic root of 4809120 is about 168.7933002739.

The spelling of 4809120 in words is "four million, eight hundred nine thousand, one hundred twenty".