459240 has 64 divisors (see below), whose sum is σ = 1425600. Its totient is φ = 118272.

The previous prime is 459233. The next prime is 459257. The reversal of 459240 is 42954.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 459240.

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 459240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5116 + ... + 5204.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

2⁴⁵⁹²⁴⁰ is an apocalyptic number.

459240 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 459240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712800).

459240 is an abundant number, since it is smaller than the sum of its proper divisors (966360).

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

459240 is a wasteful number, since it uses less digits than its factorization.

459240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

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

The square root of 459240 is about 677.6724872680. The cubic root of 459240 is about 77.1518899868.

The spelling of 459240 in words is "four hundred fifty-nine thousand, two hundred forty".