4772539200 has 672 divisors, whose sum is σ = 19525000320. Its totient is φ = 1002700800.

The previous prime is 4772539199. The next prime is 4772539229. The reversal of 4772539200 is 29352774.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11668596 + ... + 11669004.

It is an arithmetic number, because the mean of its divisors is an integer number (29055060).

Almost surely, 2^4772539200 is an apocalyptic number.

4772539200 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 4772539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9762500160).

4772539200 is an abundant number, since it is smaller than the sum of its proper divisors (14752461120).

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

4772539200 is a wasteful number, since it uses less digits than its factorization.

4772539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 4772539200 is about 69083.5667868995. The cubic root of 4772539200 is about 1683.6423243086.

The spelling of 4772539200 in words is "four billion, seven hundred seventy-two million, five hundred thirty-nine thousand, two hundred".