459280 has 20 divisors (see below), whose sum is σ = 1068012. Its totient is φ = 183680.

The previous prime is 459271. The next prime is 459293. The reversal of 459280 is 82954.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 197136 + 262144 = 444^2 + 512^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2791 + ... + 2950.

2⁴⁵⁹²⁸⁰ is an apocalyptic number.

459280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459280 is an abundant number, since it is smaller than the sum of its proper divisors (608732).

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

459280 is a wasteful number, since it uses less digits than its factorization.

459280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 459280 is about 677.7019994068. The cubic root of 459280 is about 77.1541299092.

The spelling of 459280 in words is "four hundred fifty-nine thousand, two hundred eighty".