282270720 has 352 divisors, whose sum is σ = 1018718208. Its totient is φ = 66322432.

The previous prime is 282270719. The next prime is 282270727. The reversal of 282270720 is 27072282.

It is a super-3 number, since 3×282270720³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282270727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6005737 + ... + 6005783.

Almost surely, 2^282270720 is an apocalyptic number.

282270720 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 282270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509359104).

282270720 is an abundant number, since it is smaller than the sum of its proper divisors (736447488).

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

282270720 is a wasteful number, since it uses less digits than its factorization.

282270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 282270720 is about 16800.9142608371. The cubic root of 282270720 is about 655.9769970122.

The spelling of 282270720 in words is "two hundred eighty-two million, two hundred seventy thousand, seven hundred twenty".