504463680 has 448 divisors, whose sum is σ = 2145792000. Its totient is φ = 108988416.

The previous prime is 504463649. The next prime is 504463681. The reversal of 504463680 is 86364405.

504463680 is a `hidden beast` number, since 504 + 46 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×504463680³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 504463680 = 372³ + 768³ = 596³ + 664³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504463681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1148901 + ... + 1149339.

Almost surely, 2^504463680 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 504463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072896000).

504463680 is an abundant number, since it is smaller than the sum of its proper divisors (1641328320).

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

504463680 is a wasteful number, since it uses less digits than its factorization.

504463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 504463680 is about 22460.2689209190. The cubic root of 504463680 is about 796.0554156179.

The spelling of 504463680 in words is "five hundred four million, four hundred sixty-three thousand, six hundred eighty".