4705084800 has 768 divisors, whose sum is σ = 19123776000. Its totient is φ = 1122508800.

The previous prime is 4705084759. The next prime is 4705084807. The reversal of 4705084800 is 84805074.

4705084800 is a `hidden beast` number, since 4 + 70 + 508 + 4 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4705084807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66268765 + ... + 66268835.

It is an arithmetic number, because the mean of its divisors is an integer number (24900750).

Almost surely, 2^4705084800 is an apocalyptic number.

4705084800 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 4705084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561888000).

4705084800 is an abundant number, since it is smaller than the sum of its proper divisors (14418691200).

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

4705084800 is a wasteful number, since it uses less digits than its factorization.

4705084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4705084800 is about 68593.6206946389. The cubic root of 4705084800 is about 1675.6725360498.

Adding to 4705084800 its reverse (84805074), we get a palindrome (4789889874).

The spelling of 4705084800 in words is "four billion, seven hundred five million, eighty-four thousand, eight hundred".