509466320 has 80 divisors (see below), whose sum is σ = 1327200768. Its totient is φ = 180241920.

The previous prime is 509466317. The next prime is 509466337. The reversal of 509466320 is 23664905.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24737 + ... + 40383.

Almost surely, 2^509466320 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 509466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663600384).

509466320 is an abundant number, since it is smaller than the sum of its proper divisors (817734448).

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

509466320 is a wasteful number, since it uses less digits than its factorization.

509466320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15708 (or 15702 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 509466320 is about 22571.3606147259. The cubic root of 509466320 is about 798.6781922331.

The spelling of 509466320 in words is "five hundred nine million, four hundred sixty-six thousand, three hundred twenty".