4485888 has 144 divisors (see below), whose sum is σ = 14716800. Its totient is φ = 1336320.

The previous prime is 4485883. The next prime is 4485907. The reversal of 4485888 is 8885844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4485888² = 40246382297088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4485883) 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 15 ways as a sum of consecutive naturals, for example, 76003 + ... + 76061.

It is an arithmetic number, because the mean of its divisors is an integer number (102200).

Almost surely, 2^4485888 is an apocalyptic number.

4485888 is a gapful number since it is divisible by the number (48) 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 4485888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358400).

4485888 is an abundant number, since it is smaller than the sum of its proper divisors (10230912).

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

4485888 is a wasteful number, since it uses less digits than its factorization.

4485888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 4485888 is about 2117.9915013994. The cubic root of 4485888 is about 164.9236009945.

It can be divided in two parts, 448 and 5888, that added together give a palindrome (6336).

The spelling of 4485888 in words is "four million, four hundred eighty-five thousand, eight hundred eighty-eight".