471952 has 20 divisors (see below), whose sum is σ = 985180. Its totient is φ = 217728.

The previous prime is 471949. The next prime is 471959. The reversal of 471952 is 259174.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 430336 = 204^2 + 656^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 471952.

It is not an unprimeable number, because it can be changed into a prime (471959) 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, 927 + ... + 1342.

It is an arithmetic number, because the mean of its divisors is an integer number (49259).

2⁴⁷¹⁹⁵² is an apocalyptic number.

It is an amenable number.

471952 is an abundant number, since it is smaller than the sum of its proper divisors (513228).

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

471952 is a wasteful number, since it uses less digits than its factorization.

471952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2284 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 471952 is about 686.9876272539. The cubic root of 471952 is about 77.8572889084.

The spelling of 471952 in words is "four hundred seventy-one thousand, nine hundred fifty-two".