4860671200 has 288 divisors, whose sum is σ = 15576503040. Its totient is φ = 1434931200.

The previous prime is 4860671191. The next prime is 4860671203. The reversal of 4860671200 is 21760684.

It is a super-2 number, since 2×4860671200² = 47252249029018880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4860671203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1168324 + ... + 1172476.

It is an arithmetic number, because the mean of its divisors is an integer number (54085080).

Almost surely, 2^4860671200 is an apocalyptic number.

4860671200 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 4860671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788251520).

4860671200 is an abundant number, since it is smaller than the sum of its proper divisors (10715831840).

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

4860671200 is a wasteful number, since it uses less digits than its factorization.

4860671200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 4860671200 is about 69718.5140403896. The cubic root of 4860671200 is about 1693.9428265917.

The spelling of 4860671200 in words is "four billion, eight hundred sixty million, six hundred seventy-one thousand, two hundred".