504098688 has 256 divisors, whose sum is σ = 1522851840. Its totient is φ = 146964480.

The previous prime is 504098681. The next prime is 504098701. The reversal of 504098688 is 886890405.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504098681) 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, 9511270 + ... + 9511322.

It is an arithmetic number, because the mean of its divisors is an integer number (5948640).

Almost surely, 2^504098688 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 504098688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761425920).

504098688 is an abundant number, since it is smaller than the sum of its proper divisors (1018753152).

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

504098688 is a wasteful number, since it uses less digits than its factorization.

504098688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 504098688 is about 22452.1421695125. The cubic root of 504098688 is about 795.8633806758.

The spelling of 504098688 in words is "five hundred four million, ninety-eight thousand, six hundred eighty-eight".