282366720 has 216 divisors, whose sum is σ = 989753856. Its totient is φ = 74317824.

The previous prime is 282366691. The next prime is 282366731. The reversal of 282366720 is 27663282.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462944 + ... + 1463136.

Almost surely, 2^282366720 is an apocalyptic number.

282366720 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 282366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494876928).

282366720 is an abundant number, since it is smaller than the sum of its proper divisors (707387136).

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

282366720 is a wasteful number, since it uses less digits than its factorization.

282366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 282366720 is about 16803.7710053428. The cubic root of 282366720 is about 656.0513542981.

The spelling of 282366720 in words is "two hundred eighty-two million, three hundred sixty-six thousand, seven hundred twenty".