504816480 has 288 divisors, whose sum is σ = 2003496768. Its totient is φ = 113356800.

The previous prime is 504816457. The next prime is 504816497. The reversal of 504816480 is 84618405.

504816480 is a `hidden beast` number, since 5 + 0 + 4 + 8 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614470 + ... + 615290.

It is an arithmetic number, because the mean of its divisors is an integer number (6956586).

Almost surely, 2^504816480 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 504816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001748384).

504816480 is an abundant number, since it is smaller than the sum of its proper divisors (1498680288).

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

504816480 is a wasteful number, since it uses less digits than its factorization.

504816480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 504816480 is about 22468.1214167985. The cubic root of 504816480 is about 796.2409479077.

It can be divided in two parts, 5048 and 16480, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 504816480 in words is "five hundred four million, eight hundred sixteen thousand, four hundred eighty".