282480720 has 80 divisors (see below), whose sum is σ = 877443840. Its totient is φ = 75177472.

The previous prime is 282480713. The next prime is 282480743. The reversal of 282480720 is 27084282.

282480720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171742 + ... + 173378.

It is an arithmetic number, because the mean of its divisors is an integer number (10968048).

Almost surely, 2^282480720 is an apocalyptic number.

282480720 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 282480720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

282480720 is an abundant number, since it is smaller than the sum of its proper divisors (594963120).

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

282480720 is a wasteful number, since it uses less digits than its factorization.

282480720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2366 counting only the distinct ones).

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

The square root of 282480720 is about 16807.1627587764. The cubic root of 282480720 is about 656.1396316887.

The spelling of 282480720 in words is "two hundred eighty-two million, four hundred eighty thousand, seven hundred twenty".