504213760 has 144 divisors (see below), whose sum is σ = 1269176832. Its totient is φ = 191692800.

The previous prime is 504213733. The next prime is 504213781. The reversal of 504213760 is 67312405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3848895 + ... + 3849025.

It is an arithmetic number, because the mean of its divisors is an integer number (8813728).

Almost surely, 2^504213760 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 504213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634588416).

504213760 is an abundant number, since it is smaller than the sum of its proper divisors (764963072).

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

504213760 is a wasteful number, since it uses less digits than its factorization.

504213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 504213760 is about 22454.7046295426. The cubic root of 504213760 is about 795.9239340460.

The spelling of 504213760 in words is "five hundred four million, two hundred thirteen thousand, seven hundred sixty".