4792471200 has 324 divisors, whose sum is σ = 18578806974. Its totient is φ = 1161600000.

The previous prime is 4792471193. The next prime is 4792471223. The reversal of 4792471200 is 21742974.

It can be written as a sum of positive squares in 3 ways, for example, as 4585456656 + 207014544 = 67716^2 + 14388^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 868450 + ... + 873950.

Almost surely, 2^4792471200 is an apocalyptic number.

4792471200 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 4792471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289403487).

4792471200 is an abundant number, since it is smaller than the sum of its proper divisors (13786335774).

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

4792471200 is a wasteful number, since it uses less digits than its factorization.

4792471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4792471200 is about 69227.6765463062. The cubic root of 4792471200 is about 1685.9829196650.

The spelling of 4792471200 in words is "four billion, seven hundred ninety-two million, four hundred seventy-one thousand, two hundred".