4909975200 has 216 divisors, whose sum is σ = 18645986268. Its totient is φ = 1208586240.

The previous prime is 4909975177. The next prime is 4909975201. The reversal of 4909975200 is 25799094.

4909975200 is a `hidden beast` number, since 490 + 99 + 75 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2641548816 + 2268426384 = 51396^2 + 47628^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4909975201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67372 + ... + 119828.

Almost surely, 2^4909975200 is an apocalyptic number.

4909975200 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 4909975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9322993134).

4909975200 is an abundant number, since it is smaller than the sum of its proper divisors (13736011068).

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

4909975200 is a wasteful number, since it uses less digits than its factorization.

4909975200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52496 (or 52480 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 4909975200 is about 70071.2152028206. The cubic root of 4909975200 is about 1699.6510471771.

The spelling of 4909975200 in words is "four billion, nine hundred nine million, nine hundred seventy-five thousand, two hundred".