282468144 has 60 divisors (see below), whose sum is σ = 848852664. Its totient is φ = 80704512.

The previous prime is 282468143. The next prime is 282468157. The reversal of 282468144 is 441864282.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282468143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 57697 + ... + 62400.

Almost surely, 2^282468144 is an apocalyptic number.

282468144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

282468144 is an abundant number, since it is smaller than the sum of its proper divisors (566384520).

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

282468144 is a wasteful number, since it uses less digits than its factorization.

282468144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120122 (or 120109 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 282468144 is about 16806.7886284085. The cubic root of 282468144 is about 656.1298944643.

The spelling of 282468144 in words is "two hundred eighty-two million, four hundred sixty-eight thousand, one hundred forty-four".