4879897200 has 360 divisors, whose sum is σ = 17500594176. Its totient is φ = 1258560000.

The previous prime is 4879897177. The next prime is 4879897223. The reversal of 4879897200 is 27989784.

4879897200 is a `hidden beast` number, since 487 + 98 + 9 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4879897177) and next prime (4879897223).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25549105 + ... + 25549295.

Almost surely, 2^4879897200 is an apocalyptic number.

4879897200 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 4879897200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750297088).

4879897200 is an abundant number, since it is smaller than the sum of its proper divisors (12620696976).

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

4879897200 is a wasteful number, since it uses less digits than its factorization.

4879897200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 4879897200 is about 69856.2609935573. The cubic root of 4879897200 is about 1696.1733072424.

The spelling of 4879897200 in words is "four billion, eight hundred seventy-nine million, eight hundred ninety-seven thousand, two hundred".