509964336 has 200 divisors, whose sum is σ = 1714056960. Its totient is φ = 143358336.

The previous prime is 509964319. The next prime is 509964337. The reversal of 509964336 is 633469905.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 509964291 and 509964300.

It is not an unprimeable number, because it can be changed into a prime (509964337) 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 39 ways as a sum of consecutive naturals, for example, 607405 + ... + 608243.

Almost surely, 2^509964336 is an apocalyptic number.

509964336 is a gapful number since it is divisible by the number (56) 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 509964336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857028480).

509964336 is an abundant number, since it is smaller than the sum of its proper divisors (1204092624).

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

509964336 is a wasteful number, since it uses less digits than its factorization.

509964336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 509964336 is about 22582.3899532357. The cubic root of 509964336 is about 798.9383500809.

The spelling of 509964336 in words is "five hundred nine million, nine hundred sixty-four thousand, three hundred thirty-six".