4830796800 has 528 divisors, whose sum is σ = 18427912800. Its totient is φ = 1238630400.

The previous prime is 4830796787. The next prime is 4830796807. The reversal of 4830796800 is 86970384.

It is a happy number.

4830796800 is a `hidden beast` number, since 483 + 0 + 7 + 96 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4830796807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20044680 + ... + 20044920.

It is an arithmetic number, because the mean of its divisors is an integer number (34901350).

Almost surely, 2^4830796800 is an apocalyptic number.

4830796800 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 4830796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213956400).

4830796800 is an abundant number, since it is smaller than the sum of its proper divisors (13597116000).

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

4830796800 is a wasteful number, since it uses less digits than its factorization.

4830796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4830796800 is about 69503.9337016258. The cubic root of 4830796800 is about 1690.4652850967.

The spelling of 4830796800 in words is "four billion, eight hundred thirty million, seven hundred ninety-six thousand, eight hundred".