459520 has 36 divisors (see below), whose sum is σ = 1103760. Its totient is φ = 183296.

The previous prime is 459509. The next prime is 459521. The reversal of 459520 is 25954.

It is a super-2 number, since 2×459520² = 422317260800, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (459521) by changing a digit.

459520 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1101 + ... + 1459.

It is an arithmetic number, because the mean of its divisors is an integer number (30660).

2⁴⁵⁹⁵²⁰ is an apocalyptic number.

459520 is a gapful number since it is divisible by the number (40) 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 459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551880).

459520 is an abundant number, since it is smaller than the sum of its proper divisors (644240).

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

459520 is an equidigital number, since it uses as much as digits as its factorization.

459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 459520 is about 677.8790452581. The cubic root of 459520 is about 77.1675667138.

It can be divided in two parts, 459 and 520, that added together give a palindrome (979).

The spelling of 459520 in words is "four hundred fifty-nine thousand, five hundred twenty".