267480 has 48 divisors (see below), whose sum is σ = 870480. Its totient is φ = 71232.

The previous prime is 267479. The next prime is 267481. The reversal of 267480 is 84762.

267480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (267479) and next prime (267481).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (267481) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (18135).

2²⁶⁷⁴⁸⁰ is an apocalyptic number.

267480 is a gapful number since it is divisible by the number (20) 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 267480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435240).

267480 is an abundant number, since it is smaller than the sum of its proper divisors (603000).

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

267480 is a wasteful number, since it uses less digits than its factorization.

267480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 753 counting only the distinct ones).

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

The square root of 267480 is about 517.1846865482. The cubic root of 267480 is about 64.4313312818.

It can be divided in two parts, 267 and 480, that added together give a palindrome (747).

The spelling of 267480 in words is "two hundred sixty-seven thousand, four hundred eighty".