509731940 has 24 divisors (see below), whose sum is σ = 1070958840. Its totient is φ = 203793408.

The previous prime is 509731939. The next prime is 509731949. The reversal of 509731940 is 49137905.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 169624576 + 340107364 = 13024^2 + 18442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 509731894 and 509731903.

It is not an unprimeable number, because it can be changed into a prime (509731949) 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, 46946 + ... + 56774.

It is an arithmetic number, because the mean of its divisors is an integer number (44623285).

Almost surely, 2^509731940 is an apocalyptic number.

It is an amenable number.

509731940 is an abundant number, since it is smaller than the sum of its proper divisors (561226900).

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

509731940 is a wasteful number, since it uses less digits than its factorization.

509731940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12431 (or 12429 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 509731940 is about 22577.2438530481. The cubic root of 509731940 is about 798.8169701629.

The spelling of 509731940 in words is "five hundred nine million, seven hundred thirty-one thousand, nine hundred forty".