472986 has 32 divisors (see below), whose sum is σ = 1108800. Its totient is φ = 149040.

The previous prime is 472963. The next prime is 472993. The reversal of 472986 is 689274.

It is an Ulam number.

It is a d-powerful number, because it can be written as 4² + 7⁴ + 9⁵ + 2¹⁷ + 8³ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 472986.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 796 + ... + 1256.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2⁴⁷²⁹⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554400).

472986 is an abundant number, since it is smaller than the sum of its proper divisors (635814).

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

472986 is a wasteful number, since it uses less digits than its factorization.

472986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 472986 is about 687.7397763689. The cubic root of 472986 is about 77.9141066326.

The spelling of 472986 in words is "four hundred seventy-two thousand, nine hundred eighty-six".