282561440 has 144 divisors (see below), whose sum is σ = 810819072. Its totient is φ = 92606976.

The previous prime is 282561439. The next prime is 282561473. The reversal of 282561440 is 44165282.

282561440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 282561397 and 282561406.

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 23 ways as a sum of consecutive naturals, for example, 179537 + ... + 181103.

It is an arithmetic number, because the mean of its divisors is an integer number (5630688).

Almost surely, 2^282561440 is an apocalyptic number.

282561440 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 282561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405409536).

282561440 is an abundant number, since it is smaller than the sum of its proper divisors (528257632).

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

282561440 is a wasteful number, since it uses less digits than its factorization.

282561440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 282561440 is about 16809.5639443740. The cubic root of 282561440 is about 656.2021239147.

The spelling of 282561440 in words is "two hundred eighty-two million, five hundred sixty-one thousand, four hundred forty".