504234300960 has 768 divisors, whose sum is σ = 1962375206400. Its totient is φ = 120120164352.

The previous prime is 504234300937. The next prime is 504234300989. The reversal of 504234300960 is 69003432405.

504234300960 is a `hidden beast` number, since 504 + 2 + 34 + 30 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 471687306 + ... + 471688374.

It is an arithmetic number, because the mean of its divisors is an integer number (2555176050).

Almost surely, 2^504234300960 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 504234300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981187603200).

504234300960 is an abundant number, since it is smaller than the sum of its proper divisors (1458140905440).

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

504234300960 is a wasteful number, since it uses less digits than its factorization.

504234300960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 504234300960 in words is "five hundred four billion, two hundred thirty-four million, three hundred thousand, nine hundred sixty".