467712 has 108 divisors (see below), whose sum is σ = 1594320. Its totient is φ = 129024.

The previous prime is 467699. The next prime is 467713. The reversal of 467712 is 217764.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (467713) by changing a digit.

467712 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 11 ways as a sum of consecutive naturals, for example, 16114 + ... + 16142.

467712 is a Friedman number, since it can be written as (7^6-721)*4, using all its digits and the basic arithmetic operations.

2⁴⁶⁷⁷¹² is an apocalyptic number.

467712 is a gapful number since it is divisible by the number (42) 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 467712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797160).

467712 is an abundant number, since it is smaller than the sum of its proper divisors (1126608).

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

467712 is a wasteful number, since it uses less digits than its factorization.

467712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 41 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 467712 is about 683.8947287412. The cubic root of 467712 is about 77.6234314758.

The spelling of 467712 in words is "four hundred sixty-seven thousand, seven hundred twelve".