6054430200 has 768 divisors, whose sum is σ = 24665088000. Its totient is φ = 1219276800.

The previous prime is 6054430183. The next prime is 6054430223. The reversal of 6054430200 is 20344506.

It is a super-2 number, since 2×6054430200² = 73312250093344080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82937364 + ... + 82937436.

It is an arithmetic number, because the mean of its divisors is an integer number (32116000).

Almost surely, 2^6054430200 is an apocalyptic number.

6054430200 is a gapful number since it is divisible by the number (60) 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 6054430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332544000).

6054430200 is an abundant number, since it is smaller than the sum of its proper divisors (18610657800).

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

6054430200 is a wasteful number, since it uses less digits than its factorization.

6054430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 6054430200 is about 77810.2191231974. The cubic root of 6054430200 is about 1822.5988513317.

Adding to 6054430200 its reverse (20344506), we get a palindrome (6074774706).

The spelling of 6054430200 in words is "six billion, fifty-four million, four hundred thirty thousand, two hundred".