509740 has 48 divisors (see below), whose sum is σ = 1338624. Its totient is φ = 158400.

The previous prime is 509737. The next prime is 509741. The reversal of 509740 is 47905.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1375 + ... + 1705.

It is an arithmetic number, because the mean of its divisors is an integer number (27888).

2⁵⁰⁹⁷⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669312).

509740 is an abundant number, since it is smaller than the sum of its proper divisors (828884).

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

509740 is a wasteful number, since it uses less digits than its factorization.

509740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 509740 is about 713.9607832367. The cubic root of 509740 is about 79.8821180501.

The spelling of 509740 in words is "five hundred nine thousand, seven hundred forty".