504409680 has 270 divisors, whose sum is σ = 1817613018. Its totient is φ = 130170240.

The previous prime is 504409657. The next prime is 504409681. The reversal of 504409680 is 86904405.

504409680 is a `hidden beast` number, since 50 + 440 + 96 + 80 = 666.

It can be written as a sum of positive squares in only one way, i.e., 403527744 + 100881936 = 20088^2 + 10044^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504409681) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16271265 + ... + 16271295.

Almost surely, 2^504409680 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 504409680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908806509).

504409680 is an abundant number, since it is smaller than the sum of its proper divisors (1313203338).

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

504409680 is an frugal number, since it uses more digits than its factorization.

504409680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 504409680 is about 22459.0667660079. The cubic root of 504409680 is about 796.0270101859.

The spelling of 504409680 in words is "five hundred four million, four hundred nine thousand, six hundred eighty".