4788547200 has 384 divisors, whose sum is σ = 18453432000. Its totient is φ = 1209323520.

The previous prime is 4788547187. The next prime is 4788547207. The reversal of 4788547200 is 27458874.

4788547200 is a `hidden beast` number, since 4 + 7 + 88 + 547 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4788547207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1640142 + ... + 1643058.

Almost surely, 2^4788547200 is an apocalyptic number.

4788547200 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 4788547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9226716000).

4788547200 is an abundant number, since it is smaller than the sum of its proper divisors (13664884800).

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

4788547200 is a wasteful number, since it uses less digits than its factorization.

4788547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4788547200 is about 69199.3294765202. The cubic root of 4788547200 is about 1685.5226419253.

The spelling of 4788547200 in words is "four billion, seven hundred eighty-eight million, five hundred forty-seven thousand, two hundred".