509967360 has 704 divisors, whose sum is σ = 2263818240. Its totient is φ = 106168320.

The previous prime is 509967347. The next prime is 509967361. The reversal of 509967360 is 63769905.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509967361) 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 63 ways as a sum of consecutive naturals, for example, 16450545 + ... + 16450575.

Almost surely, 2^509967360 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 509967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131909120).

509967360 is an abundant number, since it is smaller than the sum of its proper divisors (1753850880).

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

509967360 is a wasteful number, since it uses less digits than its factorization.

509967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 509967360 is about 22582.4569079629. The cubic root of 509967360 is about 798.9399292663.

The spelling of 509967360 in words is "five hundred nine million, nine hundred sixty-seven thousand, three hundred sixty".