459840 has 56 divisors (see below), whose sum is σ = 1463040. Its totient is φ = 122368.

The previous prime is 459829. The next prime is 459841. The reversal of 459840 is 48954.

It is a super-2 number, since 2×459840² = 422905651200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 459798 and 459807.

It is not an unprimeable number, because it can be changed into a prime (459841) by changing a digit.

459840 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 7 ways as a sum of consecutive naturals, for example, 721 + ... + 1199.

2⁴⁵⁹⁸⁴⁰ is an apocalyptic number.

459840 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 459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731520).

459840 is an abundant number, since it is smaller than the sum of its proper divisors (1003200).

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

459840 is a wasteful number, since it uses less digits than its factorization.

459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 459840 is about 678.1150344890. The cubic root of 459840 is about 77.1854751773.

The spelling of 459840 in words is "four hundred fifty-nine thousand, eight hundred forty".