4829479200 has 1134 divisors, whose sum is σ = 22266315099. Its totient is φ = 1018967040.

The previous prime is 4829479169. The next prime is 4829479247. The reversal of 4829479200 is 29749284.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 302342544 + 4527136656 = 17388^2 + 67284^2 .

It is a tau number, because it is divible by the number of its divisors (1134).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=49140.

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

It is an unprimeable number.

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 188 ways as a sum of consecutive naturals, for example, 371498394 + ... + 371498406.

Almost surely, 2^4829479200 is an apocalyptic number.

4829479200 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 4829479200

4829479200 is an abundant number, since it is smaller than the sum of its proper divisors (17436835899).

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

4829479200 is a wasteful number, since it uses less digits than its factorization.

4829479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

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

The square root of 4829479200 is about 69494.4544550139. The cubic root of 4829479200 is about 1690.3115796324.

The spelling of 4829479200 in words is "four billion, eight hundred twenty-nine million, four hundred seventy-nine thousand, two hundred".