509764 has 12 divisors (see below), whose sum is σ = 921088. Its totient is φ = 246600.

The previous prime is 509741. The next prime is 509767. The reversal of 509764 is 467905.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (509767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1932 + ... + 2179.

2⁵⁰⁹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

509764 is a deficient number, since it is larger than the sum of its proper divisors (411324).

509764 is a wasteful number, since it uses less digits than its factorization.

509764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 509764 is about 713.9775906847. The cubic root of 509764 is about 79.8833717224.

The spelling of 509764 in words is "five hundred nine thousand, seven hundred sixty-four".