468120 has 64 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 120704.

The previous prime is 468113. The next prime is 468121. The reversal of 468120 is 21864.

468120 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 not an unprimeable number, because it can be changed into a prime (468121) 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, 5599 + ... + 5681.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴⁶⁸¹²⁰ is an apocalyptic number.

468120 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 468120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

468120 is an abundant number, since it is smaller than the sum of its proper divisors (983400).

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

468120 is a wasteful number, since it uses less digits than its factorization.

468120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 468120 is about 684.1929552400. The cubic root of 468120 is about 77.6459960423.

Adding to 468120 its reverse (21864), we get a palindrome (489984).

The spelling of 468120 in words is "four hundred sixty-eight thousand, one hundred twenty".