509461 has 4 divisors (see below), whose sum is σ = 510892. Its totient is φ = 508032.

The previous prime is 509449. The next prime is 509477. The reversal of 509461 is 164905.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 240100 + 269361 = 490^2 + 519^2 .

It is a 4-Lehmer number, since φ(509461) divides (509461-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 509461 - 2⁵ = 509429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509441) 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, 295 + ... + 1051.

It is an arithmetic number, because the mean of its divisors is an integer number (127723).

2⁵⁰⁹⁴⁶¹ is an apocalyptic number.

It is an amenable number.

509461 is a deficient number, since it is larger than the sum of its proper divisors (1431).

509461 is an equidigital number, since it uses as much as digits as its factorization.

509461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 509461 is about 713.7653676104. The cubic root of 509461 is about 79.8675412211.

The spelling of 509461 in words is "five hundred nine thousand, four hundred sixty-one".