504315504 has 160 divisors (see below), whose sum is σ = 1804884480. Its totient is φ = 130982400.

The previous prime is 504315473. The next prime is 504315509. The reversal of 504315504 is 405513405.

504315504 is a `hidden beast` number, since 504 + 3 + 155 + 0 + 4 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504315509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25684 + ... + 40844.

It is an arithmetic number, because the mean of its divisors is an integer number (11280528).

Almost surely, 2^504315504 is an apocalyptic number.

504315504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504315504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902442240).

504315504 is an abundant number, since it is smaller than the sum of its proper divisors (1300568976).

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

504315504 is a wasteful number, since it uses less digits than its factorization.

504315504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15196 (or 15184 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 504315504 is about 22456.9700538608. The cubic root of 504315504 is about 795.9774662611.

Adding to 504315504 its reverse (405513405), we get a palindrome (909828909).

The spelling of 504315504 in words is "five hundred four million, three hundred fifteen thousand, five hundred four".