509749 has 8 divisors (see below), whose sum is σ = 547200. Its totient is φ = 473616.

The previous prime is 509741. The next prime is 509767. The reversal of 509749 is 947905.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 509749 - 2³ = 509741 is a prime.

It is a Duffinian number.

509749 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552 + ... + 1150.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

2⁵⁰⁹⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

509749 is a deficient number, since it is larger than the sum of its proper divisors (37451).

509749 is a wasteful number, since it uses less digits than its factorization.

509749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 509749 is about 713.9670860761. The cubic root of 509749 is about 79.8825881818.

The spelling of 509749 in words is "five hundred nine thousand, seven hundred forty-nine".