509456 has 20 divisors (see below), whose sum is σ = 1045692. Its totient is φ = 239616.

The previous prime is 509449. The next prime is 509477. The reversal of 509456 is 654905.

It can be written as a sum of positive squares in 2 ways, for example, as 173056 + 336400 = 416^2 + 580^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

509456 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 3 ways as a sum of consecutive naturals, for example, 665 + ... + 1208.

2⁵⁰⁹⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

509456 is an abundant number, since it is smaller than the sum of its proper divisors (536236).

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

509456 is a wasteful number, since it uses less digits than its factorization.

509456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 509456 is about 713.7618650502. The cubic root of 509456 is about 79.8672799391.

The spelling of 509456 in words is "five hundred nine thousand, four hundred fifty-six".