509338368 has 540 divisors, whose sum is σ = 1973645520. Its totient is φ = 127733760.

The previous prime is 509338331. The next prime is 509338369. The reversal of 509338368 is 863833905.

509338368 is a `hidden beast` number, since 509 + 3 + 3 + 83 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (509338369) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17563378 + ... + 17563406.

Almost surely, 2^509338368 is an apocalyptic number.

509338368 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986822760).

509338368 is an abundant number, since it is smaller than the sum of its proper divisors (1464307152).

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

509338368 is a wasteful number, since it uses less digits than its factorization.

509338368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 509338368 is about 22568.5260484596. The cubic root of 509338368 is about 798.6113242025.

The spelling of 509338368 in words is "five hundred nine million, three hundred thirty-eight thousand, three hundred sixty-eight".