509490 has 80 divisors (see below), whose sum is σ = 1489752. Its totient is φ = 124416.

The previous prime is 509477. The next prime is 509513. The reversal of 509490 is 94905.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 505521 + 3969 = 711^2 + 63^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13752 + ... + 13788.

2⁵⁰⁹⁴⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744876).

509490 is an abundant number, since it is smaller than the sum of its proper divisors (980262).

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

509490 is a wasteful number, since it uses less digits than its factorization.

509490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 509490 is about 713.7856821203. The cubic root of 509490 is about 79.8690566232.

It can be divided in two parts, 5094 and 90, that added together give a square (5184 = 72²).

The spelling of 509490 in words is "five hundred nine thousand, four hundred ninety".