282480 has 80 divisors (see below), whose sum is σ = 964224. Its totient is φ = 67840.

The previous prime is 282461. The next prime is 282481. The reversal of 282480 is 84282.

282480 = 78² + 79² + ... + 109².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 282480.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 282480.

It is not an unprimeable number, because it can be changed into a prime (282481) by changing a digit.

282480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2587 + ... + 2693.

2²⁸²⁴⁸⁰ is an apocalyptic number.

282480 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 282480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112).

282480 is an abundant number, since it is smaller than the sum of its proper divisors (681744).

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

282480 is a wasteful number, since it uses less digits than its factorization.

282480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 282480 is about 531.4884758864. The cubic root of 282480 is about 65.6139074222.

The spelling of 282480 in words is "two hundred eighty-two thousand, four hundred eighty".