459420 has 96 divisors (see below), whose sum is σ = 1505280. Its totient is φ = 103680.

The previous prime is 459397. The next prime is 459421. The reversal of 459420 is 24954.

459420 is nontrivially palindromic in base 7.

459420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459420² = 422133472800, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 459420.

It is not an unprimeable number, because it can be changed into a prime (459421) by changing a digit.

459420 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 31 ways as a sum of consecutive naturals, for example, 14805 + ... + 14835.

It is an arithmetic number, because the mean of its divisors is an integer number (15680).

2⁴⁵⁹⁴²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752640).

459420 is an abundant number, since it is smaller than the sum of its proper divisors (1045860).

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

459420 is a wasteful number, since it uses less digits than its factorization.

459420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 459420 is about 677.8052817735. The cubic root of 459420 is about 77.1619686139.

The spelling of 459420 in words is "four hundred fifty-nine thousand, four hundred twenty".