509240 has 32 divisors (see below), whose sum is σ = 1188000. Its totient is φ = 196224.

The previous prime is 509239. The next prime is 509263. The reversal of 509240 is 42905.

509240 = T₄₀₉ + T₄₁₀ + ... + T₄₁₄.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 941 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (37125).

2⁵⁰⁹²⁴⁰ 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 509240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594000).

509240 is an abundant number, since it is smaller than the sum of its proper divisors (678760).

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

509240 is a wasteful number, since it uses less digits than its factorization.

509240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

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

The square root of 509240 is about 713.6105380388. The cubic root of 509240 is about 79.8559909229.

The spelling of 509240 in words is "five hundred nine thousand, two hundred forty".