459920 has 20 divisors (see below), whose sum is σ = 1069500. Its totient is φ = 183936.

The previous prime is 459913. The next prime is 459923. The reversal of 459920 is 29954.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 394384 = 256^2 + 628^2 .

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

It is not an unprimeable number, because it can be changed into a prime (459923) by changing a digit.

459920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2795 + ... + 2954.

It is an arithmetic number, because the mean of its divisors is an integer number (53475).

2⁴⁵⁹⁹²⁰ is an apocalyptic number.

459920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459920 is an abundant number, since it is smaller than the sum of its proper divisors (609580).

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

459920 is a wasteful number, since it uses less digits than its factorization.

459920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 459920 is about 678.1740189656. The cubic root of 459920 is about 77.1899509950.

The spelling of 459920 in words is "four hundred fifty-nine thousand, nine hundred twenty".