471972 has 24 divisors (see below), whose sum is σ = 1132096. Its totient is φ = 152928.

The previous prime is 471959. The next prime is 471997. The reversal of 471972 is 279174.

471972 is nontrivially palindromic in base 7.

It is an unprimeable number.

471972 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 7 ways as a sum of consecutive naturals, for example, 88 + ... + 975.

2⁴⁷¹⁹⁷² is an apocalyptic number.

It is an amenable number.

471972 is an abundant number, since it is smaller than the sum of its proper divisors (660124).

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

471972 is a wasteful number, since it uses less digits than its factorization.

471972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1105 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 471972 is about 687.0021834026. The cubic root of 471972 is about 77.8583886839.

The spelling of 471972 in words is "four hundred seventy-one thousand, nine hundred seventy-two".