509381838 has 64 divisors (see below), whose sum is σ = 1313041920. Its totient is φ = 143358336.

The previous prime is 509381837. The next prime is 509381857. The reversal of 509381838 is 838183905.

It is a junction number, because it is equal to n+sod(n) for n = 509381793 and 509381802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509381833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15270 + ... + 35382.

It is an arithmetic number, because the mean of its divisors is an integer number (20516280).

Almost surely, 2^509381838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509381838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656520960).

509381838 is an abundant number, since it is smaller than the sum of its proper divisors (803660082).

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

509381838 is a wasteful number, since it uses less digits than its factorization.

509381838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20198 (or 20192 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 509381838 is about 22569.4890947934. The cubic root of 509381838 is about 798.6340429876.

The spelling of 509381838 in words is "five hundred nine million, three hundred eighty-one thousand, eight hundred thirty-eight".