509345244 has 36 divisors (see below), whose sum is σ = 1289486016. Its totient is φ = 169521408.

The previous prime is 509345231. The next prime is 509345257. The reversal of 509345244 is 442543905.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (509345231) and next prime (509345257).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×509345244³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 509345199 and 509345208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13717 + ... + 34739.

It is an arithmetic number, because the mean of its divisors is an integer number (35819056).

Almost surely, 2^509345244 is an apocalyptic number.

It is an amenable number.

509345244 is an abundant number, since it is smaller than the sum of its proper divisors (780140772).

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

509345244 is a wasteful number, since it uses less digits than its factorization.

509345244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21706 (or 21701 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 509345244 is about 22568.6783839905. The cubic root of 509345244 is about 798.6149179018.

The spelling of 509345244 in words is "five hundred nine million, three hundred forty-five thousand, two hundred forty-four".