467360 has 48 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 177408.

The previous prime is 467353. The next prime is 467371. The reversal of 467360 is 63764.

It is an unprimeable number.

467360 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 7 ways as a sum of consecutive naturals, for example, 3617 + ... + 3743.

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

2⁴⁶⁷³⁶⁰ is an apocalyptic number.

467360 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 467360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608).

467360 is an abundant number, since it is smaller than the sum of its proper divisors (693856).

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

467360 is a wasteful number, since it uses less digits than its factorization.

467360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 467360 is about 683.6373307537. The cubic root of 467360 is about 77.6039534600.

The spelling of 467360 in words is "four hundred sixty-seven thousand, three hundred sixty".