504380520 has 336 divisors, whose sum is σ = 1984909860. Its totient is φ = 114960384.

The previous prime is 504380507. The next prime is 504380537. The reversal of 504380520 is 25083405.

It can be written as a sum of positive squares in 2 ways, for example, as 497379204 + 7001316 = 22302^2 + 2646^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1428664 + ... + 1429016.

Almost surely, 2^504380520 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 504380520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992454930).

504380520 is an abundant number, since it is smaller than the sum of its proper divisors (1480529340).

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

504380520 is a wasteful number, since it uses less digits than its factorization.

504380520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 504380520 is about 22458.4175755996. The cubic root of 504380520 is about 796.0116704096.

The spelling of 504380520 in words is "five hundred four million, three hundred eighty thousand, five hundred twenty".