509066496 has 216 divisors, whose sum is σ = 1597030344. Its totient is φ = 155320320.

The previous prime is 509066489. The next prime is 509066497. The reversal of 509066496 is 694660905.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 508953600 = 336^2 + 22560^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509066497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1605730 + ... + 1606046.

It is an arithmetic number, because the mean of its divisors is an integer number (7393659).

Almost surely, 2^509066496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798515172).

509066496 is an abundant number, since it is smaller than the sum of its proper divisors (1087963848).

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

509066496 is a wasteful number, since it uses less digits than its factorization.

509066496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 509066496 is about 22562.5019889196. The cubic root of 509066496 is about 798.4692060390.

The spelling of 509066496 in words is "five hundred nine million, sixty-six thousand, four hundred ninety-six".