467772 has 24 divisors (see below), whose sum is σ = 1156176. Its totient is φ = 146688.

The previous prime is 467749. The next prime is 467773. The reversal of 467772 is 277764.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 467772.

It is not an unprimeable number, because it can be changed into a prime (467773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 943 + ... + 1350.

It is an arithmetic number, because the mean of its divisors is an integer number (48174).

2⁴⁶⁷⁷⁷² is an apocalyptic number.

It is an amenable number.

467772 is an abundant number, since it is smaller than the sum of its proper divisors (688404).

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

467772 is a wasteful number, since it uses less digits than its factorization.

467772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2315 counting only the distinct ones).

The product of its digits is 16464, while the sum is 33.

The square root of 467772 is about 683.9385937348. The cubic root of 467772 is about 77.6267506172.

It can be divided in two parts, 4 and 67772, that added together give a palindrome (67776).

The spelling of 467772 in words is "four hundred sixty-seven thousand, seven hundred seventy-two".