467160 has 64 divisors (see below), whose sum is σ = 1490400. Its totient is φ = 116736.

The previous prime is 467147. The next prime is 467171. The reversal of 467160 is 61764.

467160 = T₅ + T₆ + ... + T₁₄₀.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 467160.

It is a congruent number.

It is an unprimeable number.

467160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1926 + ... + 2154.

2⁴⁶⁷¹⁶⁰ is an apocalyptic number.

467160 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 467160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745200).

467160 is an abundant number, since it is smaller than the sum of its proper divisors (1023240).

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

467160 is a wasteful number, since it uses less digits than its factorization.

467160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 467160 is about 683.4910387123. The cubic root of 467160 is about 77.5928820481.

The spelling of 467160 in words is "four hundred sixty-seven thousand, one hundred sixty".