509794560 has 432 divisors, whose sum is σ = 2008843200. Its totient is φ = 122757120.

The previous prime is 509794553. The next prime is 509794561. The reversal of 509794560 is 65497905.

It is a happy number.

509794560 is a `hidden beast` number, since 509 + 7 + 94 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (509794561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3421366 + ... + 3421514.

It is an arithmetic number, because the mean of its divisors is an integer number (4650100).

Almost surely, 2^509794560 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 509794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004421600).

509794560 is an abundant number, since it is smaller than the sum of its proper divisors (1499048640).

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

509794560 is a wasteful number, since it uses less digits than its factorization.

509794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 509794560 is about 22578.6306050655. The cubic root of 509794560 is about 798.8496800812.

The spelling of 509794560 in words is "five hundred nine million, seven hundred ninety-four thousand, five hundred sixty".