282132480 has 272 divisors, whose sum is σ = 1056956544. Its totient is φ = 62914560.

The previous prime is 282132479. The next prime is 282132481. The reversal of 282132480 is 84231282.

282132480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (282132479) and next prime (282132481).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282132481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6881260 + ... + 6881300.

Almost surely, 2^282132480 is an apocalyptic number.

282132480 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 282132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528478272).

282132480 is an abundant number, since it is smaller than the sum of its proper divisors (774824064).

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

282132480 is an frugal number, since it uses more digits than its factorization.

282132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 282132480 is about 16796.7996951800. The cubic root of 282132480 is about 655.8698928962.

The spelling of 282132480 in words is "two hundred eighty-two million, one hundred thirty-two thousand, four hundred eighty".