282508864 has 63 divisors (see below), whose sum is σ = 619443643. Its totient is φ = 127740800.

The previous prime is 282508861. The next prime is 282508867. The reversal of 282508864 is 468805282.

The square root of 282508864 is 16808.

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

282508864 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (282508861) and next prime (282508867).

It is a super-2 number, since 2×282508864² = 159622516477140992, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 282508864.

It is not an unprimeable number, because it can be changed into a prime (282508861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1479009 + ... + 1479199.

Almost surely, 2^282508864 is an apocalyptic number.

282508864 is the 16808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282508864

282508864 is an abundant number, since it is smaller than the sum of its proper divisors (336934779).

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

282508864 is an equidigital number, since it uses as much as digits as its factorization.

282508864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The cubic root of 282508864 is about 656.1614217074.

The spelling of 282508864 in words is "two hundred eighty-two million, five hundred eight thousand, eight hundred sixty-four".