4792201200 has 180 divisors, whose sum is σ = 16663163400. Its totient is φ = 1275394560.

The previous prime is 4792201199. The next prime is 4792201201. The reversal of 4792201200 is 21022974.

It is an interprime number because it is at equal distance from previous prime (4792201199) and next prime (4792201201).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4792201201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2457826 + ... + 2459774.

It is an arithmetic number, because the mean of its divisors is an integer number (92573130).

Almost surely, 2^4792201200 is an apocalyptic number.

4792201200 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 4792201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8331581700).

4792201200 is an abundant number, since it is smaller than the sum of its proper divisors (11870962200).

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

4792201200 is a wasteful number, since it uses less digits than its factorization.

4792201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4792201200 is about 69225.7264317248. The cubic root of 4792201200 is about 1685.9512572291.

The spelling of 4792201200 in words is "four billion, seven hundred ninety-two million, two hundred one thousand, two hundred".