4923493200 has 240 divisors, whose sum is σ = 17953017600. Its totient is φ = 1280793600.

The previous prime is 4923493189. The next prime is 4923493219. The reversal of 4923493200 is 23943294.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437241 + ... + 448359.

It is an arithmetic number, because the mean of its divisors is an integer number (74804240).

Almost surely, 2^4923493200 is an apocalyptic number.

4923493200 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 4923493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976508800).

4923493200 is an abundant number, since it is smaller than the sum of its proper divisors (13029524400).

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

4923493200 is a wasteful number, since it uses less digits than its factorization.

4923493200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11187 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4923493200 is about 70167.6079113433. The cubic root of 4923493200 is about 1701.2094277258.

The spelling of 4923493200 in words is "four billion, nine hundred twenty-three million, four hundred ninety-three thousand, two hundred".