4807900800 has 432 divisors, whose sum is σ = 17892414150. Its totient is φ = 1276508160.

The previous prime is 4807900789. The next prime is 4807900829. The reversal of 4807900800 is 80097084.

It can be written as a sum of positive squares in 3 ways, for example, as 4454761536 + 353139264 = 66744^2 + 18792^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×4807900800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20995086 + ... + 20995314.

Almost surely, 2^4807900800 is an apocalyptic number.

4807900800 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 4807900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946207075).

4807900800 is an abundant number, since it is smaller than the sum of its proper divisors (13084513350).

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

4807900800 is an frugal number, since it uses more digits than its factorization.

4807900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4807900800 is about 69339.0279712659. The cubic root of 4807900800 is about 1687.7903500397.

Adding to 4807900800 its reverse (80097084), we get a palindrome (4887997884).

The spelling of 4807900800 in words is "four billion, eight hundred seven million, nine hundred thousand, eight hundred".