504780480 has 168 divisors, whose sum is σ = 1769528592. Its totient is φ = 132028416.

The previous prime is 504780461. The next prime is 504780481. The reversal of 504780480 is 84087405.

504780480 is a `hidden beast` number, since 504 + 78 + 0 + 4 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (504780481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150987 + ... + 154293.

Almost surely, 2^504780480 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 504780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884764296).

504780480 is an abundant number, since it is smaller than the sum of its proper divisors (1264748112).

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

504780480 is a wasteful number, since it uses less digits than its factorization.

504780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 504780480 is about 22467.3202674462. The cubic root of 504780480 is about 796.2220200025. Note that the first 3 decimals are identical.

The spelling of 504780480 in words is "five hundred four million, seven hundred eighty thousand, four hundred eighty".