472688 has 20 divisors (see below), whose sum is σ = 946368. Its totient is φ = 228480.

The previous prime is 472687. The next prime is 472691. The reversal of 472688 is 886274.

472688 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472687) 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, 20 + ... + 972.

2⁴⁷²⁶⁸⁸ 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 472688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473184).

472688 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

472688 is a wasteful number, since it uses less digits than its factorization.

472688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 986 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 472688 is about 687.5230905213. The cubic root of 472688 is about 77.8977401992.

The spelling of 472688 in words is "four hundred seventy-two thousand, six hundred eighty-eight".