282142464 has 72 divisors (see below), whose sum is σ = 771282960. Its totient is φ = 91496448.

The previous prime is 282142451. The next prime is 282142493. The reversal of 282142464 is 464241282.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23452 + ... + 33380.

Almost surely, 2^282142464 is an apocalyptic number.

282142464 is a gapful number since it is divisible by the number (24) 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 282142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385641480).

282142464 is an abundant number, since it is smaller than the sum of its proper divisors (489140496).

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

282142464 is an equidigital number, since it uses as much as digits as its factorization.

282142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9985 (or 9971 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 282142464 is about 16797.0968920227. The cubic root of 282142464 is about 655.8776293655.

The spelling of 282142464 in words is "two hundred eighty-two million, one hundred forty-two thousand, four hundred sixty-four".