509420 has 12 divisors (see below), whose sum is σ = 1069824. Its totient is φ = 203760.

The previous prime is 509417. The next prime is 509429. The reversal of 509420 is 24905.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 25471 = 509420 / (5 + 0 + 9 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 509392 and 509401.

It is not an unprimeable number, because it can be changed into a prime (509429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12716 + ... + 12755.

It is an arithmetic number, because the mean of its divisors is an integer number (89152).

2⁵⁰⁹⁴²⁰ is an apocalyptic number.

It is an amenable number.

509420 is an abundant number, since it is smaller than the sum of its proper divisors (560404).

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

509420 is a wasteful number, since it uses less digits than its factorization.

509420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25480 (or 25478 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 509420 is about 713.7366461098. The cubic root of 509420 is about 79.8653986580.

It can be divided in two parts, 509 and 420, that added together give a palindrome (929).

The spelling of 509420 in words is "five hundred nine thousand, four hundred twenty".