4932813600 has 576 divisors, whose sum is σ = 20972407680. Its totient is φ = 1103155200.

The previous prime is 4932813581. The next prime is 4932813601. The reversal of 4932813600 is 63182394.

4932813600 is a `hidden beast` number, since 4 + 9 + 32 + 8 + 13 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4932813601) 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, 3088002 + ... + 3089598.

It is an arithmetic number, because the mean of its divisors is an integer number (36410430).

Almost surely, 2^4932813600 is an apocalyptic number.

4932813600 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 4932813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486203840).

4932813600 is an abundant number, since it is smaller than the sum of its proper divisors (16039594080).

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

4932813600 is a wasteful number, since it uses less digits than its factorization.

4932813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4932813600 is about 70233.9917703671. The cubic root of 4932813600 is about 1702.2822403858.

Adding to 4932813600 its reverse (63182394), we get a palindrome (4995995994).

The spelling of 4932813600 in words is "four billion, nine hundred thirty-two million, eight hundred thirteen thousand, six hundred".