282500160 has 112 divisors (see below), whose sum is σ = 905963136. Its totient is φ = 74575872.

The previous prime is 282500149. The next prime is 282500161. The reversal of 282500160 is 61005282.

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

It is a self number, because there is not a number n which added to its sum of digits gives 282500160.

It is not an unprimeable number, because it can be changed into a prime (282500161) 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 15 ways as a sum of consecutive naturals, for example, 97452 + ... + 100308.

Almost surely, 2^282500160 is an apocalyptic number.

282500160 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 282500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452981568).

282500160 is an abundant number, since it is smaller than the sum of its proper divisors (623462976).

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

282500160 is a wasteful number, since it uses less digits than its factorization.

282500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 282500160 is about 16807.7410736839. The cubic root of 282500160 is about 656.1546829364.

The spelling of 282500160 in words is "two hundred eighty-two million, five hundred thousand, one hundred sixty".