468540 has 72 divisors (see below), whose sum is σ = 1506960. Its totient is φ = 117504.

The previous prime is 468527. The next prime is 468551. The reversal of 468540 is 45864.

468540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3352 + ... + 3488.

It is an arithmetic number, because the mean of its divisors is an integer number (20930).

2⁴⁶⁸⁵⁴⁰ is an apocalyptic number.

It is a pronic number, being equal to 684×685.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753480).

468540 is an abundant number, since it is smaller than the sum of its proper divisors (1038420).

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

468540 is a wasteful number, since it uses less digits than its factorization.

468540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 468540 is about 684.4998173849. The cubic root of 468540 is about 77.6692105814.

The spelling of 468540 in words is "four hundred sixty-eight thousand, five hundred forty".