467180 has 48 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 154560.

The previous prime is 467171. The next prime is 467183. The reversal of 467180 is 81764.

467180 = T₁ + T₂ + ... + T₁₄₀.

467180 is a nontrivial binomial coefficient, being equal to C(142, 3).

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (467183) by changing a digit.

467180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 140-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6545 + ... + 6615.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2⁴⁶⁷¹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608).

467180 is an abundant number, since it is smaller than the sum of its proper divisors (694036).

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

467180 is a wasteful number, since it uses less digits than its factorization.

467180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 467180 is about 683.5056693254. The cubic root of 467180 is about 77.5939893314.

It can be divided in two parts, 4671 and 80, that multiplied together give a triangular number (373680 = T₈₆₄).

The spelling of 467180 in words is "four hundred sixty-seven thousand, one hundred eighty".