509144 has 16 divisors (see below), whose sum is σ = 985920. Its totient is φ = 246240.

The previous prime is 509137. The next prime is 509147. The reversal of 509144 is 441905.

It is a happy number.

It is a super-2 number, since 2×509144² = 518455225472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509147) 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, 779 + ... + 1274.

It is an arithmetic number, because the mean of its divisors is an integer number (61620).

2⁵⁰⁹¹⁴⁴ is an apocalyptic number.

It is an amenable number.

509144 is a deficient number, since it is larger than the sum of its proper divisors (476776).

509144 is a wasteful number, since it uses less digits than its factorization.

509144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 509144 is about 713.5432712877. The cubic root of 509144 is about 79.8509725577.

The spelling of 509144 in words is "five hundred nine thousand, one hundred forty-four".