504165480 has 256 divisors, whose sum is σ = 1880686080. Its totient is φ = 105283584.

The previous prime is 504165461. The next prime is 504165491. The reversal of 504165480 is 84561405.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1495872 + ... + 1496208.

It is an arithmetic number, because the mean of its divisors is an integer number (7346430).

Almost surely, 2^504165480 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 504165480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940343040).

504165480 is an abundant number, since it is smaller than the sum of its proper divisors (1376520600).

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

504165480 is a wasteful number, since it uses less digits than its factorization.

504165480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 504165480 is about 22453.6295506985. The cubic root of 504165480 is about 795.8985291898.

The spelling of 504165480 in words is "five hundred four million, one hundred sixty-five thousand, four hundred eighty".