509066460 has 72 divisors (see below), whose sum is σ = 1764768096. Its totient is φ = 116357760.

The previous prime is 509066443. The next prime is 509066489. The reversal of 509066460 is 64660905.

It is a happy number.

509066460 is a `hidden beast` number, since 5 + 0 + 9 + 0 + 6 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200751 + ... + 203270.

It is an arithmetic number, because the mean of its divisors is an integer number (24510668).

Almost surely, 2^509066460 is an apocalyptic number.

It is an amenable number.

509066460 is an abundant number, since it is smaller than the sum of its proper divisors (1255701636).

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

509066460 is a wasteful number, since it uses less digits than its factorization.

509066460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404043 (or 404038 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 509066460 is about 22562.5011911357. The cubic root of 509066460 is about 798.4691872170.

The spelling of 509066460 in words is "five hundred nine million, sixty-six thousand, four hundred sixty".