509742 has 12 divisors (see below), whose sum is σ = 1104480. Its totient is φ = 169908.

The previous prime is 509741. The next prime is 509767. The reversal of 509742 is 247905.

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 5 ways as a sum of consecutive naturals, for example, 14142 + ... + 14177.

It is an arithmetic number, because the mean of its divisors is an integer number (92040).

2⁵⁰⁹⁷⁴² is an apocalyptic number.

509742 is an abundant number, since it is smaller than the sum of its proper divisors (594738).

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

509742 is a wasteful number, since it uses less digits than its factorization.

509742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28327 (or 28324 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 509742 is about 713.9621838725. The cubic root of 509742 is about 79.8822225243.

The spelling of 509742 in words is "five hundred nine thousand, seven hundred forty-two".