282489120 has 240 divisors, whose sum is σ = 1014285888. Its totient is φ = 74027520.

The previous prime is 282489091. The next prime is 282489127. The reversal of 282489120 is 21984282.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (282489127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 920007 + ... + 920313.

Almost surely, 2^282489120 is an apocalyptic number.

282489120 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 282489120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507142944).

282489120 is an abundant number, since it is smaller than the sum of its proper divisors (731796768).

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

282489120 is a wasteful number, since it uses less digits than its factorization.

282489120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 282489120 is about 16807.4126503754. The cubic root of 282489120 is about 656.1461353990.

The spelling of 282489120 in words is "two hundred eighty-two million, four hundred eighty-nine thousand, one hundred twenty".