509768964 has 120 divisors (see below), whose sum is σ = 1412714688. Its totient is φ = 159952320.

The previous prime is 509768957. The next prime is 509768969. The reversal of 509768964 is 469867905.

509768964 is a `hidden beast` number, since 509 + 76 + 8 + 9 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 509768964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509768969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 498774 + ... + 499794.

Almost surely, 2^509768964 is an apocalyptic number.

509768964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509768964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706357344).

509768964 is an abundant number, since it is smaller than the sum of its proper divisors (902945724).

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

509768964 is a wasteful number, since it uses less digits than its factorization.

509768964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1116 counting only the distinct ones).

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

The square root of 509768964 is about 22578.0637788097. The cubic root of 509768964 is about 798.8363101866.

The spelling of 509768964 in words is "five hundred nine million, seven hundred sixty-eight thousand, nine hundred sixty-four".