282345422400 has 252 divisors, whose sum is σ = 1007733417600. Its totient is φ = 74976168960.

The previous prime is 282345422393. The next prime is 282345422407. The reversal of 282345422400 is 4224543282.

282345422400 is a `hidden beast` number, since 2 + 82 + 34 + 542 + 2 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (282345422393) and next prime (282345422407).

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

It is not an unprimeable number, because it can be changed into a prime (282345422407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3400581 + ... + 3482619.

Almost surely, 2^282345422400 is an apocalyptic number.

282345422400 is a gapful number since it is divisible by the number (20) 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 282345422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503866708800).

282345422400 is an abundant number, since it is smaller than the sum of its proper divisors (725387995200).

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

282345422400 is a wasteful number, since it uses less digits than its factorization.

282345422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82306 (or 82288 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 282345422400 its reverse (4224543282), we get a palindrome (286569965682).

The spelling of 282345422400 in words is "two hundred eighty-two billion, three hundred forty-five million, four hundred twenty-two thousand, four hundred".