509645952 has 256 divisors, whose sum is σ = 1598054400. Its totient is φ = 159667200.

The previous prime is 509645893. The next prime is 509645999. The reversal of 509645952 is 259546905.

It is a happy number.

509645952 is a `hidden beast` number, since 50 + 9 + 6 + 4 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 509645898 and 509645907.

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, 7178077 + ... + 7178147.

It is an arithmetic number, because the mean of its divisors is an integer number (6242400).

Almost surely, 2^509645952 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 509645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799027200).

509645952 is an abundant number, since it is smaller than the sum of its proper divisors (1088408448).

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

509645952 is a wasteful number, since it uses less digits than its factorization.

509645952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 509645952 is about 22575.3394658862. The cubic root of 509645952 is about 798.7720494696.

The spelling of 509645952 in words is "five hundred nine million, six hundred forty-five thousand, nine hundred fifty-two".