509471 has 4 divisors (see below), whose sum is σ = 516000. Its totient is φ = 502944.

The previous prime is 509449. The next prime is 509477. The reversal of 509471 is 174905.

509471 = 38² + 39² + ... + 116².

509471 is nontrivially palindromic in base 7.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 174905 = 5 ⋅34981.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-509471 is a prime.

It is a super-3 number, since 3×509471³ = 396715947926082333, which contains 333 as substring.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 509471.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509477) 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, 3146 + ... + 3303.

It is an arithmetic number, because the mean of its divisors is an integer number (129000).

2⁵⁰⁹⁴⁷¹ is an apocalyptic number.

509471 is a deficient number, since it is larger than the sum of its proper divisors (6529).

509471 is an equidigital number, since it uses as much as digits as its factorization.

509471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6528.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 509471 is about 713.7723726791. The cubic root of 509471 is about 79.8680637800.

The spelling of 509471 in words is "five hundred nine thousand, four hundred seventy-one".