459960 has 32 divisors (see below), whose sum is σ = 1380240. Its totient is φ = 122624.

The previous prime is 459937. The next prime is 459961. The reversal of 459960 is 69954.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459961) by changing a digit.

459960 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 7 ways as a sum of consecutive naturals, for example, 1797 + ... + 2036.

2⁴⁵⁹⁹⁶⁰ is an apocalyptic number.

459960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459960 is an abundant number, since it is smaller than the sum of its proper divisors (920280).

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

459960 is a wasteful number, since it uses less digits than its factorization.

459960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 459960 is about 678.2035092802. The cubic root of 459960 is about 77.1921887092.

The spelling of 459960 in words is "four hundred fifty-nine thousand, nine hundred sixty".