4285588800 has 336 divisors, whose sum is σ = 14731057152. Its totient is φ = 1089484800.

The previous prime is 4285588793. The next prime is 4285588807. The reversal of 4285588800 is 88855824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4285588793) and next prime (4285588807).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4285588800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285588807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12350227 + ... + 12350573.

It is an arithmetic number, because the mean of its divisors is an integer number (43842432).

Almost surely, 2^4285588800 is an apocalyptic number.

4285588800 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 4285588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365528576).

4285588800 is an abundant number, since it is smaller than the sum of its proper divisors (10445468352).

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

4285588800 is a wasteful number, since it uses less digits than its factorization.

4285588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 48.

The square root of 4285588800 is about 65464.4086508081. The cubic root of 4285588800 is about 1624.3146680088.

The spelling of 4285588800 in words is "four billion, two hundred eighty-five million, five hundred eighty-eight thousand, eight hundred".