282378240 has 180 divisors, whose sum is σ = 981437184. Its totient is φ = 75104256.

The previous prime is 282378227. The next prime is 282378251. The reversal of 282378240 is 42873282.

282378240 is a `hidden beast` number, since 282 + 378 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 282378195 and 282378204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737089 + ... + 737471.

Almost surely, 2^282378240 is an apocalyptic number.

282378240 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 282378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490718592).

282378240 is an abundant number, since it is smaller than the sum of its proper divisors (699058944).

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

282378240 is an equidigital number, since it uses as much as digits as its factorization.

282378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 282378240 is about 16804.1137820475. The cubic root of 282378240 is about 656.0602760398.

The spelling of 282378240 in words is "two hundred eighty-two million, three hundred seventy-eight thousand, two hundred forty".