471969 has 9 divisors (see below), whose sum is σ = 684723. Its totient is φ = 313272.

The previous prime is 471959. The next prime is 471997. The reversal of 471969 is 969174.

The square root of 471969 is 687.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 439569 + 32400 = 663^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 471969 - 2⁷ = 471841 is a prime.

It is a super-2 number, since 2×471969² = 445509473922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (471929) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1947 + ... + 2175.

471969 is a Friedman number, since it can be written as (691-4)^(9-7), using all its digits and the basic arithmetic operations.

2⁴⁷¹⁹⁶⁹ is an apocalyptic number.

471969 is the 687-th square number.

471969 is the 344-th centered octagonal number.

It is an amenable number.

471969 is a deficient number, since it is larger than the sum of its proper divisors (212754).

471969 is an equidigital number, since it uses as much as digits as its factorization.

471969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 232 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The cubic root of 471969 is about 77.8582237196.

Multiplying 471969 by its sum of digits (36), we get a square (16990884 = 4122²).

It can be divided in two parts, 47 and 1969, that added together give a triangular number (2016 = T₆₃).

The spelling of 471969 in words is "four hundred seventy-one thousand, nine hundred sixty-nine".