468732 has 48 divisors (see below), whose sum is σ = 1233792. Its totient is φ = 137280.

The previous prime is 468719. The next prime is 468737. The reversal of 468732 is 237864.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 468732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468737) by changing a digit.

468732 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 15 ways as a sum of consecutive naturals, for example, 6963 + ... + 7029.

It is an arithmetic number, because the mean of its divisors is an integer number (25704).

2⁴⁶⁸⁷³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896).

468732 is an abundant number, since it is smaller than the sum of its proper divisors (765060).

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

468732 is a wasteful number, since it uses less digits than its factorization.

468732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 468732 is about 684.6400514139. The cubic root of 468732 is about 77.6798183217.

It can be divided in two parts, 46 and 8732, that added together give a palindrome (8778).

The spelling of 468732 in words is "four hundred sixty-eight thousand, seven hundred thirty-two".