468280 has 32 divisors (see below), whose sum is σ = 1101600. Its totient is φ = 178816.

The previous prime is 468277. The next prime is 468289. The reversal of 468280 is 82864.

468280 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 (468289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666 + ... + 1174.

It is an arithmetic number, because the mean of its divisors is an integer number (34425).

2⁴⁶⁸²⁸⁰ is an apocalyptic number.

468280 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 468280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550800).

468280 is an abundant number, since it is smaller than the sum of its proper divisors (633320).

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

468280 is a wasteful number, since it uses less digits than its factorization.

468280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 468280 is about 684.3098713302. The cubic root of 468280 is about 77.6548413129.

The spelling of 468280 in words is "four hundred sixty-eight thousand, two hundred eighty".