504753630 has 128 divisors (see below), whose sum is σ = 1375792128. Its totient is φ = 117798912.

The previous prime is 504753581. The next prime is 504753631. The reversal of 504753630 is 36357405.

It is a junction number, because it is equal to n+sod(n) for n = 504753591 and 504753600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504753631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433429 + ... + 434591.

It is an arithmetic number, because the mean of its divisors is an integer number (10748376).

Almost surely, 2^504753630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504753630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687896064).

504753630 is an abundant number, since it is smaller than the sum of its proper divisors (871038498).

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

504753630 is a wasteful number, since it uses less digits than its factorization.

504753630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250.

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 504753630 is about 22466.7227249548. The cubic root of 504753630 is about 796.2079023539.

The spelling of 504753630 in words is "five hundred four million, seven hundred fifty-three thousand, six hundred thirty".