509420736 has 336 divisors, whose sum is σ = 1707477408. Its totient is φ = 143769600.

The previous prime is 509420713. The next prime is 509420741. The reversal of 509420736 is 637024905.

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

It is a self number, because there is not a number n which added to its sum of digits gives 509420736.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9611686 + ... + 9611738.

It is an arithmetic number, because the mean of its divisors is an integer number (5081778).

Almost surely, 2^509420736 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 509420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853738704).

509420736 is an abundant number, since it is smaller than the sum of its proper divisors (1198056672).

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

509420736 is a wasteful number, since it uses less digits than its factorization.

509420736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 509420736 is about 22570.3508169457. The cubic root of 509420736 is about 798.6543712063.

The spelling of 509420736 in words is "five hundred nine million, four hundred twenty thousand, seven hundred thirty-six".