509460 has 48 divisors (see below), whose sum is σ = 1631616. Its totient is φ = 116352.

The previous prime is 509449. The next prime is 509477. The reversal of 509460 is 64905.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 509460.

It is a congruent number.

It is an unprimeable number.

509460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (33992).

2⁵⁰⁹⁴⁶⁰ 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 509460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815808).

509460 is an abundant number, since it is smaller than the sum of its proper divisors (1122156).

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

509460 is a wasteful number, since it uses less digits than its factorization.

509460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 509460 is about 713.7646670997. The cubic root of 509460 is about 79.8674889648.

It can be divided in two parts, 509 and 460, that added together give a palindrome (969).

The spelling of 509460 in words is "five hundred nine thousand, four hundred sixty".