5382304200 has 576 divisors, whose sum is σ = 23089772160. Its totient is φ = 1134673920.

The previous prime is 5382304183. The next prime is 5382304201. The reversal of 5382304200 is 24032835.

5382304200 is a `hidden beast` number, since 5 + 3 + 8 + 230 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5382304201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4421992 + ... + 4423208.

It is an arithmetic number, because the mean of its divisors is an integer number (40086410).

Almost surely, 2^5382304200 is an apocalyptic number.

5382304200 is a gapful number since it is divisible by the number (50) 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 5382304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11544886080).

5382304200 is an abundant number, since it is smaller than the sum of its proper divisors (17707467960).

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

5382304200 is a wasteful number, since it uses less digits than its factorization.

5382304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5382304200 is about 73364.1888117084. The cubic root of 5382304200 is about 1752.4921445338.

The spelling of 5382304200 in words is "five billion, three hundred eighty-two million, three hundred four thousand, two hundred".