467664 has 20 divisors (see below), whose sum is σ = 1208256. Its totient is φ = 155872.

The previous prime is 467657. The next prime is 467669. The reversal of 467664 is 466764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4824 + ... + 4919.

2⁴⁶⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

467664 is an abundant number, since it is smaller than the sum of its proper divisors (740592).

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

467664 is a wasteful number, since it uses less digits than its factorization.

467664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9754 (or 9748 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 467664 is about 683.8596347205. The cubic root of 467664 is about 77.6207759584.

Subtracting from 467664 its reverse (466764), we obtain a square (900 = 30²).

The spelling of 467664 in words is "four hundred sixty-seven thousand, six hundred sixty-four".