509418 has 48 divisors (see below), whose sum is σ = 1362816. Its totient is φ = 133920.

The previous prime is 509417. The next prime is 509429. The reversal of 509418 is 814905.

509418 = T₅₇ + T₅₈ + ... + T₁₄₇.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 509391 and 509400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483 + ... + 1793.

It is an arithmetic number, because the mean of its divisors is an integer number (28392).

2⁵⁰⁹⁴¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681408).

509418 is an abundant number, since it is smaller than the sum of its proper divisors (853398).

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

509418 is a wasteful number, since it uses less digits than its factorization.

509418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 509418 is about 713.7352450314. The cubic root of 509418 is about 79.8652941398.

The spelling of 509418 in words is "five hundred nine thousand, four hundred eighteen".