472680 has 96 divisors (see below), whose sum is σ = 1670760. Its totient is φ = 115200.

The previous prime is 472669. The next prime is 472687. The reversal of 472680 is 86274.

It can be written as a sum of positive squares in 4 ways, for example, as 412164 + 60516 = 642^2 + 246^2 .

It is not an unprimeable number, because it can be changed into a prime (472687) by changing a digit.

472680 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 23 ways as a sum of consecutive naturals, for example, 4630 + ... + 4730.

2⁴⁷²⁶⁸⁰ is an apocalyptic number.

472680 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 472680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835380).

472680 is an abundant number, since it is smaller than the sum of its proper divisors (1198080).

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

472680 is a wasteful number, since it uses less digits than its factorization.

472680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 472680 is about 687.5172725103. The cubic root of 472680 is about 77.8973007371.

The spelling of 472680 in words is "four hundred seventy-two thousand, six hundred eighty".