509280403968 has 960 divisors, whose sum is σ = 1839082291200. Its totient is φ = 138579517440.

The previous prime is 509280403949. The next prime is 509280403969. The reversal of 509280403968 is 869304082905.

509280403968 is a `hidden beast` number, since 50 + 92 + 80 + 40 + 396 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (509280403969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1658893671 + ... + 1658893977.

It is an arithmetic number, because the mean of its divisors is an integer number (1915710720).

Almost surely, 2^509280403968 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 509280403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919541145600).

509280403968 is an abundant number, since it is smaller than the sum of its proper divisors (1329801887232).

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

509280403968 is a wasteful number, since it uses less digits than its factorization.

509280403968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 509280403968 in words is "five hundred nine billion, two hundred eighty million, four hundred three thousand, nine hundred sixty-eight".