282980880 has 360 divisors, whose sum is σ = 1192470552. Its totient is φ = 59609088.

The previous prime is 282980857. The next prime is 282980909. The reversal of 282980880 is 88089282.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 273836304 = 3024^2 + 16548^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 458332 + ... + 458948.

Almost surely, 2^282980880 is an apocalyptic number.

282980880 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 282980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596235276).

282980880 is an abundant number, since it is smaller than the sum of its proper divisors (909489672).

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

282980880 is a wasteful number, since it uses less digits than its factorization.

282980880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 282980880 is about 16822.0355486487. The cubic root of 282980880 is about 656.5266566862.

The spelling of 282980880 in words is "two hundred eighty-two million, nine hundred eighty thousand, eight hundred eighty".