504837690 has 128 divisors (see below), whose sum is σ = 1434931200. Its totient is φ = 113601600.

The previous prime is 504837679. The next prime is 504837691. The reversal of 504837690 is 96738405.

It is a happy number.

It is a super-3 number, since 3×504837690³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (504837691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 730245 + ... + 730935.

It is an arithmetic number, because the mean of its divisors is an integer number (11210400).

Almost surely, 2^504837690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504837690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717465600).

504837690 is an abundant number, since it is smaller than the sum of its proper divisors (930093510).

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

504837690 is a wasteful number, since it uses less digits than its factorization.

504837690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 504837690 is about 22468.5934139189. The cubic root of 504837690 is about 796.2520991773.

The spelling of 504837690 in words is "five hundred four million, eight hundred thirty-seven thousand, six hundred ninety".