4783952160 has 576 divisors, whose sum is σ = 18862212096. Its totient is φ = 1094860800.

The previous prime is 4783952153. The next prime is 4783952161. The reversal of 4783952160 is 612593874.

4783952160 is a `hidden beast` number, since 47 + 8 + 395 + 216 + 0 = 666.

4783952160 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

4783952160 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (4783952161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17652825 + ... + 17653095.

It is an arithmetic number, because the mean of its divisors is an integer number (32746896).

It is a 1-persistent number, because it is pandigital, but 2⋅4783952160 = 9567904320 is not.

Almost surely, 2^4783952160 is an apocalyptic number.

4783952160 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 4783952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9431106048).

4783952160 is an abundant number, since it is smaller than the sum of its proper divisors (14078259936).

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

4783952160 is a wasteful number, since it uses less digits than its factorization.

4783952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4783952160 is about 69166.1200299684. The cubic root of 4783952160 is about 1684.9833327282.

It can be divided in two parts, 47839 and 52160, that added together give a palindrome (99999).

The spelling of 4783952160 in words is "four billion, seven hundred eighty-three million, nine hundred fifty-two thousand, one hundred sixty".