509506420 has 48 divisors (see below), whose sum is σ = 1088409168. Its totient is φ = 200309760.

The previous prime is 509506411. The next prime is 509506453. The reversal of 509506420 is 24605905.

It can be written as a sum of positive squares in 8 ways, for example, as 2446096 + 507060324 = 1564^2 + 22518^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672682 + ... + 673438.

It is an arithmetic number, because the mean of its divisors is an integer number (22675191).

Almost surely, 2^509506420 is an apocalyptic number.

It is an amenable number.

509506420 is an abundant number, since it is smaller than the sum of its proper divisors (578902748).

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

509506420 is a wasteful number, since it uses less digits than its factorization.

509506420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 509506420 is about 22572.2488910609. The cubic root of 509506420 is about 798.6991462877.

The spelling of 509506420 in words is "five hundred nine million, five hundred six thousand, four hundred twenty".