472760 has 32 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 184704.

The previous prime is 472751. The next prime is 472763. The reversal of 472760 is 67274.

472760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472763) by changing a digit.

472760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 2009 + ... + 2231.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁴⁷²⁷⁶⁰ is an apocalyptic number.

472760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

472760 is an abundant number, since it is smaller than the sum of its proper divisors (615880).

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

472760 is a wasteful number, since it uses less digits than its factorization.

472760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 472760 is about 687.5754504053. The cubic root of 472760 is about 77.9016951353.

The spelling of 472760 in words is "four hundred seventy-two thousand, seven hundred sixty".