4823842800 has 240 divisors, whose sum is σ = 17708723712. Its totient is φ = 1099545600.

The previous prime is 4823842799. The next prime is 4823842811. The reversal of 4823842800 is 82483284.

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

It is a super-2 number, since 2×4823842800² = 46538918718223680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 4678285 + ... + 4679315.

Almost surely, 2^4823842800 is an apocalyptic number.

4823842800 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 4823842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8854361856).

4823842800 is an abundant number, since it is smaller than the sum of its proper divisors (12884880912).

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

4823842800 is a wasteful number, since it uses less digits than its factorization.

4823842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 4823842800 is about 69453.8897398843. The cubic root of 4823842800 is about 1689.6537460395.

The spelling of 4823842800 in words is "four billion, eight hundred twenty-three million, eight hundred forty-two thousand, eight hundred".