472668 has 48 divisors (see below), whose sum is σ = 1338624. Its totient is φ = 126720.

The previous prime is 472643. The next prime is 472669. The reversal of 472668 is 866274.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1263 + ... + 1593.

It is an arithmetic number, because the mean of its divisors is an integer number (27888).

2⁴⁷²⁶⁶⁸ 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 472668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669312).

472668 is an abundant number, since it is smaller than the sum of its proper divisors (865956).

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

472668 is a wasteful number, since it uses less digits than its factorization.

472668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 472668 is about 687.5085454014. The cubic root of 472668 is about 77.8966415346.

It can be divided in two parts, 47266 and 8, that added together give a palindrome (47274).

The spelling of 472668 in words is "four hundred seventy-two thousand, six hundred sixty-eight".