509285376 has 132 divisors (see below), whose sum is σ = 1492664212. Its totient is φ = 167215104.

The previous prime is 509285369. The next prime is 509285407. The reversal of 509285376 is 673582905.

It is a happy number.

509285376 is a `hidden beast` number, since 509 + 28 + 53 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 301925376 + 207360000 = 17376^2 + 14400^2 .

It is a super-2 number, since 2×509285376² = 518743188414922752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672390 + ... + 673146.

Almost surely, 2^509285376 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 509285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746332106).

509285376 is an abundant number, since it is smaller than the sum of its proper divisors (983378836).

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

509285376 is a wasteful number, since it uses less digits than its factorization.

509285376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 509285376 is about 22567.3519935326. The cubic root of 509285376 is about 798.5836271733.

The spelling of 509285376 in words is "five hundred nine million, two hundred eighty-five thousand, three hundred seventy-six".