280985760 has 384 divisors, whose sum is σ = 1100977920. Its totient is φ = 67184640.

The previous prime is 280985743. The next prime is 280985773. The reversal of 280985760 is 67589082.

280985760 = 109³ + 110³ + ... + 188³.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3849084 + ... + 3849156.

It is an arithmetic number, because the mean of its divisors is an integer number (2867130).

Almost surely, 2^280985760 is an apocalyptic number.

280985760 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 280985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550488960).

280985760 is an abundant number, since it is smaller than the sum of its proper divisors (819992160).

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

280985760 is an equidigital number, since it uses as much as digits as its factorization.

280985760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 280985760 is about 16762.6298652688. The cubic root of 280985760 is about 654.9800976801.

The spelling of 280985760 in words is "two hundred eighty million, nine hundred eighty-five thousand, seven hundred sixty".