509489136 has 160 divisors (see below), whose sum is σ = 1585523520. Its totient is φ = 155713536.

The previous prime is 509489093. The next prime is 509489143. The reversal of 509489136 is 631984905.

It is a happy number.

509489136 is a `hidden beast` number, since 509 + 4 + 8 + 9 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 509489091 and 509489100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1443136 + ... + 1443488.

It is an arithmetic number, because the mean of its divisors is an integer number (9909522).

Almost surely, 2^509489136 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 509489136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792761760).

509489136 is an abundant number, since it is smaller than the sum of its proper divisors (1076034384).

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

509489136 is a wasteful number, since it uses less digits than its factorization.

509489136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 509489136 is about 22571.8660283106. The cubic root of 509489136 is about 798.6901147547.

The spelling of 509489136 in words is "five hundred nine million, four hundred eighty-nine thousand, one hundred thirty-six".