4485656800 has 144 divisors (see below), whose sum is σ = 11796744960. Its totient is φ = 1660055040.

The previous prime is 4485656797. The next prime is 4485656801. The reversal of 4485656800 is 86565844.

It is a super-2 number, since 2×4485656800² = 40242233854772480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4485656801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650169 + ... + 657031.

It is an arithmetic number, because the mean of its divisors is an integer number (81921840).

Almost surely, 2^4485656800 is an apocalyptic number.

4485656800 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 4485656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898372480).

4485656800 is an abundant number, since it is smaller than the sum of its proper divisors (7311088160).

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

4485656800 is a wasteful number, since it uses less digits than its factorization.

4485656800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The square root of 4485656800 is about 66975.0460992749. The cubic root of 4485656800 is about 1649.2076759105.

The spelling of 4485656800 in words is "four billion, four hundred eighty-five million, six hundred fifty-six thousand, eight hundred".