4923705600 has 648 divisors, whose sum is σ = 20263807200. Its totient is φ = 1128038400.

The previous prime is 4923705593. The next prime is 4923705617. The reversal of 4923705600 is 65073294.

4923705600 is a `hidden beast` number, since 4 + 9 + 23 + 70 + 560 + 0 = 666.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 12038196 + ... + 12038604.

Almost surely, 2^4923705600 is an apocalyptic number.

4923705600 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 4923705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10131903600).

4923705600 is an abundant number, since it is smaller than the sum of its proper divisors (15340101600).

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

4923705600 is a wasteful number, since it uses less digits than its factorization.

4923705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4923705600 is about 70169.1214139097. The cubic root of 4923705600 is about 1701.2338908235.

Adding to 4923705600 its reverse (65073294), we get a palindrome (4988778894).

The spelling of 4923705600 in words is "four billion, nine hundred twenty-three million, seven hundred five thousand, six hundred".