4833284400 has 720 divisors, whose sum is σ = 20724387840. Its totient is φ = 1018828800.

The previous prime is 4833284387. The next prime is 4833284437. The reversal of 4833284400 is 44823384.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17967466 + ... + 17967734.

It is an arithmetic number, because the mean of its divisors is an integer number (28783872).

Almost surely, 2^4833284400 is an apocalyptic number.

4833284400 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 4833284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10362193920).

4833284400 is an abundant number, since it is smaller than the sum of its proper divisors (15891103440).

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

4833284400 is a wasteful number, since it uses less digits than its factorization.

4833284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4833284400 is about 69521.8267884267. The cubic root of 4833284400 is about 1690.7554014761.

The spelling of 4833284400 in words is "four billion, eight hundred thirty-three million, two hundred eighty-four thousand, four hundred".