4885120 has 64 divisors (see below), whose sum is σ = 12393000. Its totient is φ = 1835008.

The previous prime is 4885117. The next prime is 4885129. The reversal of 4885120 is 215884.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 322624 = 2136^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4885129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10656 + ... + 11104.

Almost surely, 2^4885120 is an apocalyptic number.

4885120 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 4885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196500).

4885120 is an abundant number, since it is smaller than the sum of its proper divisors (7507880).

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

4885120 is a wasteful number, since it uses less digits than its factorization.

4885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 4885120 is about 2210.2307571835. The cubic root of 4885120 is about 169.6778211748.

It can be divided in two parts, 4885 and 120, that added together give a palindrome (5005).

The spelling of 4885120 in words is "four million, eight hundred eighty-five thousand, one hundred twenty".