471852 has 48 divisors (see below), whose sum is σ = 1300320. Its totient is φ = 147456.

The previous prime is 471847. The next prime is 471853. The reversal of 471852 is 258174.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 471852.

It is not an unprimeable number, because it can be changed into a prime (471853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1708 + ... + 1964.

It is an arithmetic number, because the mean of its divisors is an integer number (27090).

2⁴⁷¹⁸⁵² 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 471852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650160).

471852 is an abundant number, since it is smaller than the sum of its proper divisors (828468).

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

471852 is a wasteful number, since it uses less digits than its factorization.

471852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 471852 is about 686.9148418836. The cubic root of 471852 is about 77.8517895646.

The spelling of 471852 in words is "four hundred seventy-one thousand, eight hundred fifty-two".