504820736 has 66 divisors (see below), whose sum is σ = 1174024098. Its totient is φ = 216330240.

The previous prime is 504820717. The next prime is 504820753. The reversal of 504820736 is 637028405.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 443355136 + 61465600 = 21056^2 + 7840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 504820696 and 504820705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45146 + ... + 55206.

Almost surely, 2^504820736 is an apocalyptic number.

504820736 is a gapful number since it is divisible by the number (56) 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 504820736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587012049).

504820736 is an abundant number, since it is smaller than the sum of its proper divisors (669203362).

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

504820736 is a wasteful number, since it uses less digits than its factorization.

504820736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10095 (or 10070 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 504820736 is about 22468.2161285670. The cubic root of 504820736 is about 796.2431855473.

The spelling of 504820736 in words is "five hundred four million, eight hundred twenty thousand, seven hundred thirty-six".