282440340 has 288 divisors, whose sum is σ = 1081656576. Its totient is φ = 58060800.

The previous prime is 282440311. The next prime is 282440359. The reversal of 282440340 is 43044282.

It is a happy number.

282440340 is a `hidden beast` number, since 282 + 4 + 40 + 340 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 704140 + ... + 704540.

It is an arithmetic number, because the mean of its divisors is an integer number (3755752).

Almost surely, 2^282440340 is an apocalyptic number.

282440340 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 282440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540828288).

282440340 is an abundant number, since it is smaller than the sum of its proper divisors (799216236).

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

282440340 is a wasteful number, since it uses less digits than its factorization.

282440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 282440340 is about 16805.9614422978. The cubic root of 282440340 is about 656.1083656246.

The spelling of 282440340 in words is "two hundred eighty-two million, four hundred forty thousand, three hundred forty".