504760320 has 144 divisors (see below), whose sum is σ = 1749727980. Its totient is φ = 134578176.

The previous prime is 504760303. The next prime is 504760331. The reversal of 504760320 is 23067405.

It is a happy number.

504760320 is a `hidden beast` number, since 50 + 4 + 7 + 603 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 458302464 + 46457856 = 21408^2 + 6816^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89422 + ... + 94898.

Almost surely, 2^504760320 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 504760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874863990).

504760320 is an abundant number, since it is smaller than the sum of its proper divisors (1244967660).

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

504760320 is a wasteful number, since it uses less digits than its factorization.

504760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 504760320 is about 22466.8716113303. The cubic root of 504760320 is about 796.2114199824.

The spelling of 504760320 in words is "five hundred four million, seven hundred sixty thousand, three hundred twenty".