4805791200 has 864 divisors, whose sum is σ = 21058652160. Its totient is φ = 1006387200.

The previous prime is 4805791181. The next prime is 4805791253. The reversal of 4805791200 is 21975084.

4805791200 is a `hidden beast` number, since 4 + 80 + 579 + 1 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60832761 + ... + 60832839.

It is an arithmetic number, because the mean of its divisors is an integer number (24373440).

Almost surely, 2^4805791200 is an apocalyptic number.

4805791200 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 4805791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529326080).

4805791200 is an abundant number, since it is smaller than the sum of its proper divisors (16252860960).

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

4805791200 is a wasteful number, since it uses less digits than its factorization.

4805791200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 4805791200 is about 69323.8140901090. The cubic root of 4805791200 is about 1687.5434589631.

The spelling of 4805791200 in words is "four billion, eight hundred five million, seven hundred ninety-one thousand, two hundred".