467568 has 60 divisors (see below), whose sum is σ = 1392768. Its totient is φ = 145920.

The previous prime is 467557. The next prime is 467587. The reversal of 467568 is 865764.

It is a happy number.

467568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2353 + ... + 2543.

2⁴⁶⁷⁵⁶⁸ is an apocalyptic number.

467568 is a gapful number since it is divisible by the number (48) 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 467568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384).

467568 is an abundant number, since it is smaller than the sum of its proper divisors (925200).

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

467568 is a wasteful number, since it uses less digits than its factorization.

467568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 467568 is about 683.7894412756. The cubic root of 467568 is about 77.6154643782.

It can be divided in two parts, 46756 and 8, that added together give a palindrome (46764).

The spelling of 467568 in words is "four hundred sixty-seven thousand, five hundred sixty-eight".