468024 has 16 divisors (see below), whose sum is σ = 1170120. Its totient is φ = 156000.

The previous prime is 468019. The next prime is 468029. The reversal of 468024 is 420864.

It is an interprime number because it is at equal distance from previous prime (468019) and next prime (468029).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 19501 = 468024 / (4 + 6 + 8 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 467985 and 468003.

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 468024.

It is not an unprimeable number, because it can be changed into a prime (468029) by changing a digit.

468024 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, 9727 + ... + 9774.

2⁴⁶⁸⁰²⁴ is an apocalyptic number.

It is an amenable number.

468024 is an abundant number, since it is smaller than the sum of its proper divisors (702096).

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

468024 is a wasteful number, since it uses less digits than its factorization.

468024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19510 (or 19506 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 468024 is about 684.1227959950. The cubic root of 468024 is about 77.6406879124.

Adding to 468024 its reverse (420864), we get a palindrome (888888).

The spelling of 468024 in words is "four hundred sixty-eight thousand, twenty-four".