467280 has 120 divisors (see below), whose sum is σ = 1740960. Its totient is φ = 111360.

The previous prime is 467261. The next prime is 467293. The reversal of 467280 is 82764.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

467280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7891 + ... + 7949.

It is an arithmetic number, because the mean of its divisors is an integer number (14508).

2⁴⁶⁷²⁸⁰ is an apocalyptic number.

467280 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 467280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870480).

467280 is an abundant number, since it is smaller than the sum of its proper divisors (1273680).

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

467280 is a wasteful number, since it uses less digits than its factorization.

467280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 467280 is about 683.5788176941. The cubic root of 467280 is about 77.5995252743.

It can be divided in two parts, 467 and 280, that added together give a palindrome (747).

The spelling of 467280 in words is "four hundred sixty-seven thousand, two hundred eighty".