4923340800 has 576 divisors, whose sum is σ = 19661241600. Its totient is φ = 1061683200.

The previous prime is 4923340787. The next prime is 4923340813. The reversal of 4923340800 is 80433294.

It is an interprime number because it is at equal distance from previous prime (4923340787) and next prime (4923340813).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20428680 + ... + 20428920.

It is an arithmetic number, because the mean of its divisors is an integer number (34134100).

Almost surely, 2^4923340800 is an apocalyptic number.

4923340800 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 4923340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9830620800).

4923340800 is an abundant number, since it is smaller than the sum of its proper divisors (14737900800).

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

4923340800 is a wasteful number, since it uses less digits than its factorization.

4923340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4923340800 is about 70166.5219317589. The cubic root of 4923340800 is about 1701.1918746741.

The spelling of 4923340800 in words is "four billion, nine hundred twenty-three million, three hundred forty thousand, eight hundred".