504513360 has 400 divisors, whose sum is σ = 1939657104. Its totient is φ = 120766464.

The previous prime is 504513343. The next prime is 504513397. The reversal of 504513360 is 63315405.

It can be written as a sum of positive squares in 8 ways, for example, as 106750224 + 397763136 = 10332^2 + 19944^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 4464664 + ... + 4464776.

Almost surely, 2^504513360 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 504513360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969828552).

504513360 is an abundant number, since it is smaller than the sum of its proper divisors (1435143744).

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

504513360 is a wasteful number, since it uses less digits than its factorization.

504513360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 504513360 is about 22461.3748466117. The cubic root of 504513360 is about 796.0815468252.

Adding to 504513360 its reverse (63315405), we get a palindrome (567828765).

The spelling of 504513360 in words is "five hundred four million, five hundred thirteen thousand, three hundred sixty".