509444 has 24 divisors (see below), whose sum is σ = 979608. Its totient is φ = 230400.

The previous prime is 509441. The next prime is 509449. The reversal of 509444 is 444905.

It can be written as a sum of positive squares in 4 ways, for example, as 102400 + 407044 = 320^2 + 638^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 509444.

It is not an unprimeable number, because it can be changed into a prime (509441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4994 + ... + 5094.

It is an arithmetic number, because the mean of its divisors is an integer number (40817).

2⁵⁰⁹⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

509444 is a deficient number, since it is larger than the sum of its proper divisors (470164).

509444 is a wasteful number, since it uses less digits than its factorization.

509444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 509444 is about 713.7534588358. The cubic root of 509444 is about 79.8666528552.

The spelling of 509444 in words is "five hundred nine thousand, four hundred forty-four".