6282230400 has 336 divisors, whose sum is σ = 23276604510. Its totient is φ = 1674639360.

The previous prime is 6282230393. The next prime is 6282230413. The reversal of 6282230400 is 40322826.

6282230400 is a `hidden beast` number, since 6 + 28 + 2 + 230 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4397281344 + 1884949056 = 66312^2 + 43416^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2331454 + ... + 2334146.

Almost surely, 2^6282230400 is an apocalyptic number.

6282230400 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 6282230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11638302255).

6282230400 is an abundant number, since it is smaller than the sum of its proper divisors (16994374110).

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

6282230400 is an equidigital number, since it uses as much as digits as its factorization.

6282230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2703 counting only the distinct ones).

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

The square root of 6282230400 is about 79260.5223298459. The cubic root of 6282230400 is about 1845.1766636307.

The spelling of 6282230400 in words is "six billion, two hundred eighty-two million, two hundred thirty thousand, four hundred".