509120640 has 640 divisors, whose sum is σ = 2203787520. Its totient is φ = 109486080.

The previous prime is 509120639. The next prime is 509120671. The reversal of 509120640 is 46021905.

509120640 is a `hidden beast` number, since 5 + 0 + 9 + 12 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8346210 + ... + 8346270.

It is an arithmetic number, because the mean of its divisors is an integer number (3443418).

Almost surely, 2^509120640 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 509120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101893760).

509120640 is an abundant number, since it is smaller than the sum of its proper divisors (1694666880).

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

509120640 is a wasteful number, since it uses less digits than its factorization.

509120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 509120640 is about 22563.7018239472. The cubic root of 509120640 is about 798.4975132669.

The spelling of 509120640 in words is "five hundred nine million, one hundred twenty thousand, six hundred forty".