509006344 has 64 divisors (see below), whose sum is σ = 1199894400. Its totient is φ = 198285120.

The previous prime is 509006341. The next prime is 509006359. The reversal of 509006344 is 443600905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509006341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71122 + ... + 77950.

It is an arithmetic number, because the mean of its divisors is an integer number (18748350).

Almost surely, 2^509006344 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 509006344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599947200).

509006344 is an abundant number, since it is smaller than the sum of its proper divisors (690888056).

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

509006344 is a wasteful number, since it uses less digits than its factorization.

509006344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 509006344 is about 22561.1689413470. The cubic root of 509006344 is about 798.4377553922.

The spelling of 509006344 in words is "five hundred nine million, six thousand, three hundred forty-four".