459120 has 40 divisors (see below), whose sum is σ = 1424016. Its totient is φ = 122368.

The previous prime is 459113. The next prime is 459127. The reversal of 459120 is 21954.

It is an interprime number because it is at equal distance from previous prime (459113) and next prime (459127).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459127) by changing a digit.

459120 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717 + ... + 1196.

2⁴⁵⁹¹²⁰ is an apocalyptic number.

459120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459120 is an abundant number, since it is smaller than the sum of its proper divisors (964896).

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

459120 is a wasteful number, since it uses less digits than its factorization.

459120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 459120 is about 677.5839431392. The cubic root of 459120 is about 77.1451694388.

The spelling of 459120 in words is "four hundred fifty-nine thousand, one hundred twenty".