4927003200 has 420 divisors, whose sum is σ = 20701438912. Its totient is φ = 1125964800.

The previous prime is 4927003153. The next prime is 4927003201. The reversal of 4927003200 is 23007294.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4927003201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 904485 + ... + 909915.

Almost surely, 2^4927003200 is an apocalyptic number.

4927003200 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 4927003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10350719456).

4927003200 is an abundant number, since it is smaller than the sum of its proper divisors (15774435712).

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

4927003200 is a wasteful number, since it uses less digits than its factorization.

4927003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4927003200 is about 70192.6149961661. The cubic root of 4927003200 is about 1701.6136005645.

The spelling of 4927003200 in words is "four billion, nine hundred twenty-seven million, three thousand, two hundred".