509678964 has 18 divisors (see below), whose sum is σ = 1288355250. Its totient is φ = 169892976.

The previous prime is 509678963. The next prime is 509678977. The reversal of 509678964 is 469876905.

509678964 is a `hidden beast` number, since 509 + 6 + 78 + 9 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 488056464 + 21622500 = 22092^2 + 4650^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×509678964² = 519545292688226592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 509678964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509678963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7078839 + ... + 7078910.

Almost surely, 2^509678964 is an apocalyptic number.

It is an amenable number.

509678964 is an abundant number, since it is smaller than the sum of its proper divisors (778676286).

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

509678964 is a wasteful number, since it uses less digits than its factorization.

509678964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14157759 (or 14157754 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 509678964 is about 22576.0706058428. The cubic root of 509678964 is about 798.7892957517.

The spelling of 509678964 in words is "five hundred nine million, six hundred seventy-eight thousand, nine hundred sixty-four".