4485600 has 216 divisors, whose sum is σ = 18280080. Its totient is φ = 1013760.

The previous prime is 4485599. The next prime is 4485601. The reversal of 4485600 is 65844.

It is an interprime number because it is at equal distance from previous prime (4485599) and next prime (4485601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4485601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50356 + ... + 50444.

It is an arithmetic number, because the mean of its divisors is an integer number (84630).

Almost surely, 2^4485600 is an apocalyptic number.

4485600 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 4485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

4485600 is an abundant number, since it is smaller than the sum of its proper divisors (13794480).

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

4485600 is a wasteful number, since it uses less digits than its factorization.

4485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4485600 is about 2117.9235113667. The cubic root of 4485600 is about 164.9200714805.

The spelling of 4485600 in words is "four million, four hundred eighty-five thousand, six hundred".