507480064 has 144 divisors (see below), whose sum is σ = 1274445900. Its totient is φ = 200245248.

The previous prime is 507480059. The next prime is 507480091. The reversal of 507480064 is 460084705.

It can be written as a sum of positive squares in 2 ways, for example, as 452838400 + 54641664 = 21280^2 + 7392^2 .

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, 1304382 + ... + 1304770.

Almost surely, 2^507480064 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 507480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637222950).

507480064 is an abundant number, since it is smaller than the sum of its proper divisors (766965836).

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

507480064 is a wasteful number, since it uses less digits than its factorization.

507480064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 507480064 is about 22527.3181715001. The cubic root of 507480064 is about 797.6389050605.

The spelling of 507480064 in words is "five hundred seven million, four hundred eighty thousand, sixty-four".