282287040 has 336 divisors, whose sum is σ = 1107045792. Its totient is φ = 60555264.

The previous prime is 282286997. The next prime is 282287051. The reversal of 282287040 is 40782282.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 282286992 and 282287010.

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 47 ways as a sum of consecutive naturals, for example, 799504 + ... + 799856.

Almost surely, 2^282287040 is an apocalyptic number.

282287040 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 282287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553522896).

282287040 is an abundant number, since it is smaller than the sum of its proper divisors (824758752).

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

282287040 is a wasteful number, since it uses less digits than its factorization.

282287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 282287040 is about 16801.3999416715. The cubic root of 282287040 is about 655.9896389401.

The spelling of 282287040 in words is "two hundred eighty-two million, two hundred eighty-seven thousand, forty".