282100400 has 120 divisors (see below), whose sum is σ = 711985680. Its totient is φ = 107269120.

The previous prime is 282100387. The next prime is 282100409. The reversal of 282100400 is 4001282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282100409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962654 + ... + 962946.

It is an arithmetic number, because the mean of its divisors is an integer number (5933214).

Almost surely, 2^282100400 is an apocalyptic number.

282100400 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 282100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355992840).

282100400 is an abundant number, since it is smaller than the sum of its proper divisors (429885280).

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

282100400 is a wasteful number, since it uses less digits than its factorization.

282100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 282100400 is about 16795.8447242168. The cubic root of 282100400 is about 655.8450332940.

Adding to 282100400 its reverse (4001282), we get a palindrome (286101682).

The spelling of 282100400 in words is "two hundred eighty-two million, one hundred thousand, four hundred".