4863575200 has 144 divisors (see below), whose sum is σ = 13254839136. Its totient is φ = 1727308800.

The previous prime is 4863575173. The next prime is 4863575209. The reversal of 4863575200 is 25753684.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4863575209) 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 23 ways as a sum of consecutive naturals, for example, 371974 + ... + 384826.

It is an arithmetic number, because the mean of its divisors is an integer number (92047494).

Almost surely, 2^4863575200 is an apocalyptic number.

4863575200 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 4863575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6627419568).

4863575200 is an abundant number, since it is smaller than the sum of its proper divisors (8391263936).

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

4863575200 is a wasteful number, since it uses less digits than its factorization.

4863575200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12927 (or 12914 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 4863575200 is about 69739.3375362858. The cubic root of 4863575200 is about 1694.2801072150.

The spelling of 4863575200 in words is "four billion, eight hundred sixty-three million, five hundred seventy-five thousand, two hundred".