6230282400 has 864 divisors, whose sum is σ = 25715854080. Its totient is φ = 1449861120.

The previous prime is 6230282347. The next prime is 6230282441. The reversal of 6230282400 is 42820326.

6230282400 is a `hidden beast` number, since 6 + 230 + 28 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

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, 132559177 + ... + 132559223.

It is an arithmetic number, because the mean of its divisors is an integer number (29763720).

Almost surely, 2^6230282400 is an apocalyptic number.

6230282400 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 6230282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12857927040).

6230282400 is an abundant number, since it is smaller than the sum of its proper divisors (19485571680).

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

6230282400 is a wasteful number, since it uses less digits than its factorization.

6230282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6230282400 is about 78932.1379413987. The cubic root of 6230282400 is about 1840.0766351194.

The spelling of 6230282400 in words is "six billion, two hundred thirty million, two hundred eighty-two thousand, four hundred".