504384480 has 288 divisors, whose sum is σ = 1826121024. Its totient is φ = 126517248.

The previous prime is 504384421. The next prime is 504384541. The reversal of 504384480 is 84483405.

504384480 is a `hidden beast` number, since 504 + 38 + 44 + 80 = 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, 3212562 + ... + 3212718.

It is an arithmetic number, because the mean of its divisors is an integer number (6340698).

Almost surely, 2^504384480 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 504384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913060512).

504384480 is an abundant number, since it is smaller than the sum of its proper divisors (1321736544).

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

504384480 is a wasteful number, since it uses less digits than its factorization.

504384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 504384480 is about 22458.5057383611. The cubic root of 504384480 is about 796.0137536238.

The spelling of 504384480 in words is "five hundred four million, three hundred eighty-four thousand, four hundred eighty".