282457486080 has 864 divisors, whose sum is σ = 1290159456768. Its totient is φ = 55237017600.

The previous prime is 282457486067. The next prime is 282457486081. The reversal of 282457486080 is 80684754282.

282457486080 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 574 + 8 + 60 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (282457486081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15070315 + ... + 15089045.

It is an arithmetic number, because the mean of its divisors is an integer number (1493240112).

Almost surely, 2^282457486080 is an apocalyptic number.

282457486080 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 282457486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645079728384).

282457486080 is an abundant number, since it is smaller than the sum of its proper divisors (1007701970688).

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

282457486080 is a wasteful number, since it uses less digits than its factorization.

282457486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18793 (or 18776 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 282457486080 in words is "two hundred eighty-two billion, four hundred fifty-seven million, four hundred eighty-six thousand, eighty".