468060 has 48 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 120064.

The previous prime is 468059. The next prime is 468067. The reversal of 468060 is 60864.

468060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 468060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1606 + ... + 1874.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁴⁶⁸⁰⁶⁰ 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 468060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680400).

468060 is an abundant number, since it is smaller than the sum of its proper divisors (892740).

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

468060 is a wasteful number, since it uses less digits than its factorization.

468060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 468060 is about 684.1491065550. The cubic root of 468060 is about 77.6426785462.

The spelling of 468060 in words is "four hundred sixty-eight thousand, sixty".