282003481600 has 99 divisors (see below), whose sum is σ = 699237823017. Its totient is φ = 112767406080.

The previous prime is 282003481561. The next prime is 282003481637. The reversal of 282003481600 is 6184300282.

The square root of 282003481600 is 531040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 101521253376 + 180482228224 = 318624^2 + 424832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 84964741 + ... + 84968059.

Almost surely, 2^282003481600 is an apocalyptic number.

282003481600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

282003481600 is the 531040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282003481600

282003481600 is an abundant number, since it is smaller than the sum of its proper divisors (417234341417).

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

282003481600 is an frugal number, since it uses more digits than its factorization.

282003481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6668 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

Adding to 282003481600 its reverse (6184300282), we get a palindrome (288187781882).

The spelling of 282003481600 in words is "two hundred eighty-two billion, three million, four hundred eighty-one thousand, six hundred".