504104960 has 96 divisors (see below), whose sum is σ = 1273708800. Its totient is φ = 190955520.

The previous prime is 504104959. The next prime is 504104971. The reversal of 504104960 is 69401405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193265 + ... + 195855.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2^504104960 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 504104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636854400).

504104960 is an abundant number, since it is smaller than the sum of its proper divisors (769603840).

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

504104960 is a wasteful number, since it uses less digits than its factorization.

504104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 504104960 is about 22452.2818439463. The cubic root of 504104960 is about 795.8666813751.

The spelling of 504104960 in words is "five hundred four million, one hundred four thousand, nine hundred sixty".