472960 has 32 divisors (see below), whose sum is σ = 1132200. Its totient is φ = 188928.

The previous prime is 472939. The next prime is 472963. The reversal of 472960 is 69274.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472963) 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, 271 + ... + 1009.

2⁴⁷²⁹⁶⁰ is an apocalyptic number.

472960 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 472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566100).

472960 is an abundant number, since it is smaller than the sum of its proper divisors (659240).

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

472960 is an equidigital number, since it uses as much as digits as its factorization.

472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 472960 is about 687.7208736108. The cubic root of 472960 is about 77.9126789625.

The spelling of 472960 in words is "four hundred seventy-two thousand, nine hundred sixty".