4805632000 has 336 divisors, whose sum is σ = 13632359832. Its totient is φ = 1680998400.

The previous prime is 4805631959. The next prime is 4805632009. The reversal of 4805632000 is 2365084.

It can be written as a sum of positive squares in 4 ways, for example, as 652087296 + 4153544704 = 25536^2 + 64448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4805632000.

It is not an unprimeable number, because it can be changed into a prime (4805632009) 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, 252927991 + ... + 252928009.

Almost surely, 2^4805632000 is an apocalyptic number.

4805632000 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 4805632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816179916).

4805632000 is an abundant number, since it is smaller than the sum of its proper divisors (8826727832).

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

4805632000 is an equidigital number, since it uses as much as digits as its factorization.

4805632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4805632000 is about 69322.6658460276. The cubic root of 4805632000 is about 1687.5248245091.

Adding to 4805632000 its reverse (2365084), we get a palindrome (4807997084).

The spelling of 4805632000 in words is "four billion, eight hundred five million, six hundred thirty-two thousand".