282408050400 has 864 divisors, whose sum is σ = 1138074658560. Its totient is φ = 60476129280.

The previous prime is 282408050399. The next prime is 282408050423. The reversal of 282408050400 is 4050804282.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 216736149 + ... + 216737451.

It is an arithmetic number, because the mean of its divisors is an integer number (1317216040).

Almost surely, 2^282408050400 is an apocalyptic number.

282408050400 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 282408050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569037329280).

282408050400 is an abundant number, since it is smaller than the sum of its proper divisors (855666608160).

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

282408050400 is a wasteful number, since it uses less digits than its factorization.

282408050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

Adding to 282408050400 its reverse (4050804282), we get a palindrome (286458854682).

The spelling of 282408050400 in words is "two hundred eighty-two billion, four hundred eight million, fifty thousand, four hundred".