509713740 has 72 divisors (see below), whose sum is σ = 1567351968. Its totient is φ = 134058240.

The previous prime is 509713723. The next prime is 509713751. The reversal of 509713740 is 47317905.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 509713695 and 509713704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6256 + ... + 32535.

Almost surely, 2^509713740 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 509713740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783675984).

509713740 is an abundant number, since it is smaller than the sum of its proper divisors (1057638228).

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

509713740 is a wasteful number, since it uses less digits than its factorization.

509713740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38879 (or 38874 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 509713740 is about 22576.8407887375. The cubic root of 509713740 is about 798.8074627854.

The spelling of 509713740 in words is "five hundred nine million, seven hundred thirteen thousand, seven hundred forty".