509346608940 has 864 divisors, whose sum is σ = 1847827537920. Its totient is φ = 117385003008.

The previous prime is 509346608917. The next prime is 509346608957. The reversal of 509346608940 is 49806643905.

509346608940 is a `hidden beast` number, since 5 + 0 + 93 + 466 + 0 + 8 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1981893292 + ... + 1981893548.

It is an arithmetic number, because the mean of its divisors is an integer number (2138689280).

Almost surely, 2^509346608940 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 509346608940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923913768960).

509346608940 is an abundant number, since it is smaller than the sum of its proper divisors (1338480928980).

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

509346608940 is a wasteful number, since it uses less digits than its factorization.

509346608940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 509346608940 in words is "five hundred nine billion, three hundred forty-six million, six hundred eight thousand, nine hundred forty".